{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "ykETlollcv4u"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from imageio import imread\n",
    "%matplotlib inline "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "k9u5nrI8cv4y"
   },
   "source": [
    "# Part a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "7N73kBYDcv4z"
   },
   "outputs": [],
   "source": [
    "def low_rank_approximation(X, rank):\n",
    "    u,s,vh = np.linalg.svd(X)\n",
    "    left = np.matmul(u[:,:rank],np.diag(s[:rank]))\n",
    "    right = vh[:rank,:]\n",
    "    appx = np.matmul(left,right)\n",
    "    return appx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 295
    },
    "colab_type": "code",
    "collapsed": false,
    "id": "A3WfnABVcv43",
    "outputId": "5442a732-827a-4de9-fe4b-6c7e5056c651"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8jNFoZBFlMheVJwM9fsqCFl0jrCpE6pPRMquPyGenUqKfqr+Rb6i8FMLznvxdBeMsH1KFXC05gJDVZFvZpnm+5YMKI7BEAqmDTb8QgAVjJpMJhsOhafZarWaMwXQB4YrvJ6gf6He0cw7pdDoUweUx0+k0JFj9fh/NZtPSGMAsoALAYDOZidaWDE9flvlBPwCRSCTMYmvAhtfgcTdu3MCdO3cMqu/v71sfUvH0ej1UKhUAwOHhIZLJpEHg4+Nj1Ot1s5pMAwGngpzL5QAAuVwOzjkLeFWrVSQSCbOag8EA6XTa0j9EFYxy++kGnyiQbAcQrtTRYB+jyj485lipAmV/8L70sXm8BqDUN+R3RVNR9/OfwfcbtV0PYoGBJRFIatt+vx+CUslkErlcDuPx2JiG0Ub6ftVqFclkEr1eDwcHByFmHgwG6Ha7Zjk4oKrVtUN97UsF0Gg0cHx8jHa7bVCX/lQ6nTZoSouXTqeRyWRQqVRQrVaRzWbNN2MgqtvthnKaZBhCzC984Qtm9ev1Om7cuGHWOggCrK6uIpfLodPp2HNRWRQKBUMNfG6mMA4PD0MwEziFfVQ8vV4P6XQanU4HyWQS7XYb4/EYt27dQjqdxtNPP41yuYx0Oo1sNmsBFRYUUBlRCSp8ZN/S0qRSKQs4abRVA1YALD+rviMFfjwemxKgYta8rsJkFdLzfEoNzPi5Tb2en6JR3vq2Fchut2uBFTILB1QFkr7Q+vq6BUHUmnEg6F/2+30L3RMOUvMrRGE7aHV7vR5qtZol3ZvNpkVgS6WS+Zkc/PF4jNXVVWtbuVxGtVq14EmtVrMI6Xg8RrPZNKg5mUzw6U9/2gabz0GBZdtyuRwqlYr9NxwOkUgkTIiTySRqtRrG4zG2trYsV0r4zyANI7q01u32bClWBqaKxaL9Nx6PUSqVzA8GgLfeegv5fB4bGxsolUool8sW+QVOUYmSWhD93Gq1QsEgPy9IHuC9CUF5HC0nISv5gJCdyoF8wXtwzEkUKAaD+BxsiwZ7/GeggveF3Y8+L0JLI5CDwSAEVdnJAExQWYXC0D0hHn2kRCIREhRa3m63G4KQhELUemwDrSLhWKfTCQU3GCgik7Djed9MJoNyuWwVRHoPav1ms4larWbFDsBpuiedTiOXy2EymWBvb8/OYaCKwap+v4/xeBwK5ORyuVDwJp1Oo1arhXxJBqzUsvA3plzI+GwXj6WSGg6HKBaLCILAFBXb6Qsdn98vClBLQwuqpH6npqWU1IJy7HyEo1CWCl6Fn7/r8Ro59YXODwydZWH5G/tuUVoagWR5lvoO1FYUpkwmg/X1dayurmJrawvpdNpgEhPypVIJKysrSKVSGAwGGA6HOD4+RiKRQKfTQSKRsFQB0we8PtvQ7XbR7XZRq9VsIFmYwEQ6tSx9s0wmY0ULlUrForu9Xg+DwQB3797FrVu38Bd/8Rfodrt2PmFivV6/T+BoHWml2Bb1X2k9+v2+IYbJZGLPSjhHC6KWQf0qpkk0esrCB6IDXmc4HOLo6AiZTAbT6RRvvfUWRqMRisUiqtUqyuXyfUIUi8VMgfhWhkKpfqeWtGn1FNMgmhvWPCxhPd0AKmoqYlo5wnwqDW2P+qW+wLK/yLfzBJHn+ND4PFoagWw2m6a1OQgcqFgshnK5jEKhgJWVFVQqlVDNKS0r85Sbm5twzqFer4eigt1u16BaLBYz6EomoGVkUQIw81lpdTmYmrMCYEzPCh8OkvqyX/7yl83HJaPQX+v3+yYQ9KHz+TzG47Fds9/vo1KpWBtWV1fRarVw48YNZLNZbGxsYDwe4/j4GOPxGNVqFQCs2KFSqSCRSKDZbMI5Z8LUarUsiENFQTRC0nFQCNjv95HP5w3dMG/M1IpWUw0GgxBkZL9wnH3LqcX1OjdShVeVB1M3tEgqfIpQANjxWmvrR2HJlxocBKKnjPlCG5W7XJSWRiAPDw8BnEb2GNRhhI31oaurqyiVSsZQ2mGZTMaOY6drrrJer1vS3tdeHFzmQpPJJPL5vFkhkl/DSStMC8CBH41GePXVV/GVr3wF7XY7lKPs9/u4ffu2KQsgzPQU/kwmY0UOZCDe+9q1a+YrjUYj7O/vGyQvFAomVNVq1RiT0L1QKJhCWFlZMT+3UCgYEplMJqjX66ZsKAxsJy0SiwooCMfHx3jvvfeQSqWwtrZmZX0UUuecoRpFACT2iTKxxgWoEBhN13e6ORRiTn5mHpr9o0qHKEDv7weBKHwKdyloZ0Vd9RqL0lIIZBAEFi0k46l/RqGggGghswZAVBv66Q76hxRQFnVrxI/CQeFmdJQMw6gltT2hEq0bGb3f7+Pw8BCf/vSn0e/3zW9Lp9M4ODhAv9+3+tFutxuCWxQePjMtP6OITKvwHYAxluZrWX3EooF+v2+5TkadeT/mev1ZKEy3MA3gl7oRAqvlY7/GYjGrDqIwEmqTQVXQte/1Xa2dVvUwvsBr6BhyzLVIgBBWg4V8BlU22r4oS8nf/YDNWSmPbzvICsCgFJmRDMm8GAWTMA+AQbRGo4Fms2kMobmtIDitPKG2Z4qFTMQBZZRNq4OomcmkQRBYe2hV6e/evXsX9Xodr7/+Oo6Pj7GysmLHALOCb7V0RAI8n9pboThLBm/fvm3tJmQl7GbhAq0EiX1WLpdNQDUKWSgUMBwOUavVLAijCXY+P4Njen1em1FaIgsAhjDob7IAYW1tzSYIAGFlyHyjTt/yfTRaOw2+8FiiFI2ojkYji8Ky31U5alWTDzPVSkb5leoj+76mHzB6EFoagez3++Zr8J2drZaDuUBCWVbH9Ho904A6aRc4HXgOAlMHCk+o7cmUtJLa+Uwj8BitKBkMBnjllVfQaDRw7949ZDIZHBwcoN1uW06PQRtlMCbzOahkOC2N06ldlUrFpmElEgnLEQKwnCaJFTbsg3K5bIJDaMo+ZdDGz+35U4rIsEyz+FO4KBD0x3keC+sJxalctUqHAqZWRwVDrR7/p9D6OUKODeE1z1eh4hiqn6rX0/vou1o+3zKS1EJ+20FWAOa/sXSLWoudySoXTRUwFM9iYrVoHFjCXmp04DS3RWugFpKkQRwSYSWPb7fbKJVK+NKXvoSvfOUruHbtmlk8pg/S6bQl2svlMm7duhWysGRutpEFBrlcDrFYDIeHh1YSyDwkrT3hIeEY4TwAEyoycaPRsH4h49OqADOBaTabZqVpsabTqcFx+u200rqWEBUWfVoyNat5OMb8b21tzc5l36vAUWA4BhReCj1dFoWEKhBUJPQd+ezsE+B0ZQTyGpWhVkZp20hRQSL+DiCkoL4t0x4aMSNjKiwBTgVQy7JoxShoHERWj2j0jP+xc2kRyTj0SciwfjE6MItCrq2tWaH47u4uarUavv71r+Pu3bs24GRcX5jJyMBpHowBGIU/Gv3TNFChUAiV8vkwV60LBYlMzech09MnZOArmUxaOojBE41ykrH0PrlcLhS9Bk7rc3kua5R5XjKZDKWfSD7Tav6S7ecY852+pw8lVajJNzrfkuNE4fNjEJoLV97zBd+3iFGf/ePOo6UQSPqN2pEUKsLMXC4X+u476RRkP2mvEJYdEzXzg9ZZk8K0YmTKtbU18yEnkwl+9Vd/FV/72tfMf61UKmZ1NEUSi80K1uv1eohxmTLQsjkKItMubB9TOnt7e6FKHNXy9CM1UKKpGQafNIrdarVMwAmn+b3VaiEWi9kSH8zvra2tWXpF+55+KseyXC4DgC1twsqi4XCIg4MDlEqlkPLj2KvVoqLS6VQa6PGZ3RcM9f0Z7PL9Vi274/j4cJ8UJYT+ux9p/baDrNS2AGzmPAMRhGGEQzoJWCEMoSJw/1w5tZZ6T/9FwfR/IwOTAWu1Gl5++WW8/fbbljOkVWHFjC6VCJwWm9PasEyNE5QJ9QjJ1WLymTjLJZFIWKRU0YRWr2jVE69HJlcFpFHSbrcbWtNH/SlCOuB0qhytIe9JK6qr9NHP1OuwP5rNpuVHddzUylG50IrrFDQdSz8yqkhBv/uCTgWqaRLfWvP68+6p/0UJ6TdNIJ1z1wG0AEwAjIMgeNE5twLgdwBcAXAdwL8TBMHxWdeJxWJYW1szX6tSqeCxxx5DIpGwNWYIN0m+70fhIUWFm3m+77RrLateg+foam1f/vKX8clPftJSCerb8FpcIqTX61lOlBCTnzljn5qZ0T6mQQj7FF4eHh6iUCigXC6j2+1a8Id+qMItQjIqMloiWn3Wvyo0BWZ+XqVSQRAESKfTVgXEXDDvyaASBRwAjo6OMJ1OrVKKU8LK5bKltWiZWKze6XSwvb1tfiYFmzN8KOR6Ll0ZQswoflJiYJDX9n1AXosBIKIaKlUGfnic8hEpKjfp89ki9I3YSuCHgiB4IThdBPbvAvhXQRA8BeBfnXw/uxEnkI7TlJhv5JQlJsbJxFGpAjIVBZXM4sNX1WTsRI3yAeGJsnrMa6+9hi9+8YtWzwkAa2trBokKhYLBIgY0tE3AqcDSV9NCcc3L8dkU/tCPLBaLVldKy8faVk37aFEDhZL9rYiAzMnATbPZNAvH86iA6CowdeBHq1n4wAKKdrttBfUcF/XfWaaolmSeoCn01PHSZ+J//rhzDFXI+VKLz7YSYfA8RU6+1eN3jXn4vy9K7wdk/XEAP3jy+TcBfB7A3znrBPpfvV4vhO21BlHrEnkOH5hM7w+owhhfa/rWU/0Rnsd8YTwex5/92Z/hN37jNyyyeXR0ZJOjWVpHf6TT6ViwqdlsmqXnSgiERoPBwJLmzWYT/X7fpjVRuCgUrNoZj8e4c+dOKJLH6hz2E8vzGEnV+xL2a/+S+Ziaob+oxeoUMtbcTqez1fsKhYJFJXd2dtDtdk3R0A0ZDodWgaWBGta80sJzjFRwKVTq4yvfaPCLY6ffSeQp9al1AjWRi0Zi2Q5fmbGdRCFRcFmVwzdTIAMA/7ebbbj6PwezLeY2gyC4AwBBENxxzm2cdxEyEh1+3zn2IYDvJ/gDpde1hkZoVv3fz3Fp8v7q1av4whe+YDlSWhZaIFptjZZS6PiZSoGKhYJNi0aGB8LLT3BGi/pAOkUIOIXaRA1sP/sVgKWS6Jcz70vGpF+r1p1QlRaD6+l0u91QPpbwljCbNa0cU7abllVL2mjZ/YixPz4KJ30Fe1aEc97/6goQljrnrIaWz61KhII5L5DkC6Ty1qL0lxXIfzMIgr0Tofusc+6NRU90smHr+vq6hd9ZaE0/hQ+nGB+436JFPbQGRLx7h94JK1RDx2Kz2SOdTge/+Iu/iE6nY77VcDi0NXC63a7NsOCcTRYCMJjBiiIyoAZ2GFTgCnYUJBZ6AzA/LplMot/v26Rt5xzW19etRpXTvlgsoHk/9p2/fCQFiotxseqGOV7tM207AEsZcAUFTb8QijL4xnQQrTY/c0aMzmfUvCN/U3gcFcGMQjw+RQkmhY2GgBPHVbmp761t0Ci6byj4/zcVsgZBsHfyfs859ynMtjLfd85tn1jHbQD35pxrG7Y+9dRTASEKHXCWPVHYdCDUcvraiORHxM4itWbsPObx/vzP/xz37t3D7u6uzcTngOncQa0mCoLApn9pIQH9RvpfLAQAYPCOaRAGTSi0RA9kUA0QMVnPiciaMmGusNPpIJvNWmE9mZzXB2AW3s/DqaKaTqcWWWWfMQ/M56YgaYGARsaV2XltzSeqa0IB0CCOjw5IKiA+L8xDR+rn0Z/X+mgqIQqYKnlfKeh19ZhvSpTVOZcHEAuCoHXy+d8C8N9htg/kvwfgH5y8/5/nXYsMqpUk9GG0skIHxI+G+r8tqpWoAJT5eO7v/u7v4lOf+hR2dnZQKpUsb1gsFs1PW11dtZUAmH/TmlEyEv1CWjrOrCCzpdPpUAkco3yxWMxmq2QyGbsO++n69etWtF2r1bC2tmapF/pznDzNPCIVBMveuNQJLZUGw4LgdP1U5ouJZmj1CPOy2aytqEBFQOtO5ua5hKy6JlGr1bIVIHwUozWuGhVV0twv28sx1sAO/yNyUBhLRcDyRD/1o8Eikq/w5wV/FqG/jIXcBPCpk8YkAPx2EASfcc59BcA/d879TQA3AfyN8y6kjWana8kVgPu0tmo6deTPwuu+H0mrpU49fZ94PI7bQQO0AAAgAElEQVRXXnkF7XbbluY4ODhAs9nEo48+iuPj41B+jTCt3+/bvhvUtJxhzyAJAHQ6HSuhG4/HVr3CgmwKJa9JeMn5mVzBgEl7RQtUAJxQzWfjVCn6tITV9GPpQ7EPWb5HRcHrcX2eYrGIWCyGRqNhq8kT2jHdQZ+RSjadTqNarSIIZiuqc/lNWijOsaSF0vWQODbkDy0oYH7R9y+jxjvqPwo3n5UpH6IRAAar9V7KW1G+74PSQwtkEARXAXxPxO81AH/1Qa7lnLPqF1obTlviwChm52cKoR/RIlNIm+w+JL8ekvcgfL158yZef/11bG5uIggCW1GuWq2adeFsCS4POZnMJgKzUIDatFQq4ejoCOVy2YS03W6b1WMkkwxHIWk2myacmUwGrVYL5XIZ+XzeVoJbWVkxy0tfTX03ChknOHMCNrV3JpOxBaMbjQZisdMZJIyeEorSilerVaRSKbRaLQTBrGi9VCphbW0t5BNmMhkUi0WLRrNve72elQESZpPpqTS4wp3HWyZYVBR+DjoKMqqQzgsAkY/oYzO6ziJ1FqRQISrs5n0VwvqvRWkpKnUAhKJshBI62wA4jSb6oeaoqJfWQp4XjaUWp4/W6XTw9ttvI5GYrSjearVMk5dKpdBsBqZqyLz0HQnlAITmXtL60rpyASkGULjMP60QGa/b7YbyggBsRXQWEhBGUiEwSsrrs0yOwsqpWfv7+6Zser2eWTANANHSTiYT2/GKqQr2MycIMBVCq0vI2mq1UCwWQ8/De1D4aKFpcRWqKp0VN4iKdqqwqPAoz6iC5jQ9CimfUwsAoqKrf1laCoF0zplAEpaR4QnNdLHeeY45I3yEaH4wyD9PaxnJFKlUCgcHB7h27RqA2Vqlu7u7aDQa6PV6yOVyODg4QCaTsXrO7e1tW5c1kZjN3+z1elhdXQ1FJ4FZMTmFkhYeAIrFouUH6SMSZsbjcRSLRfP1uNwJn4/CRGVBX5ykaQkf6jOnyQDP2tpaqJoGgPn3WpRBq/vkk09aeogIQ9c0olXNZDIhP5UFIKPRCL1ezywwl0+hlWfRhC71oeVzvmL2BZCffSTlw1pCZiplBuzYBwAsbqACGSWEfqHJgwjqUgkkX9ROZC4NjvB40rxOiboHj9fB8is8ptOpLXBFJkkkEga5aKWLxaINGgMYDOUzMEGmVN+HyW5VAgp/dKYFYTT3M+FUM40+019jAQUVG9EG0xqaziBspuVmUQFTLbrnI4+j1deCdvqYbB8DPoTqXAyMEwOIGuLx2fxR5kapoJgG4XNR8Ob5bPOsHcc7CjmdBx81F6zldjrLhgKuAUblQx8ef6srdR6YyFypVMoGnKVhDDjwmHnRLbWOFBoeowEhP7BDYUmlUrYw8FtvvYV33nnHtpfj78BMYz7++OMAZtU6zjlbM4f3r9VquHTpEq5evYrNzU17BsI8XS2OA8sNV7e2tiyX2O/3sbW1hd3dXVy7dg1bW1u4efOmMfxgMMBLL72EdDqNN998E8PhEE888YQFXug3MgjUarXw1FNPmbVnkYCu1kAGJPykL8mV9Fje2G63kUjMNqZlTpYrzwGw6qROp2P93Ww2bV0joh8KHF8Uas4JZf8Q/jI3rbDdH3tV3IqegOjlH/1iA96Lx2txBXO5Pg/S7fEjtz6fnkdLIZB0ytkpWpniY3sez98Zmuex/J+kWpQWBzh7o86joyODj2R8WgQGJeiTMRUAwErmyuUyBoOB7UtJgeSK59wFi/4cUwCMuipzMsCzurpqFo2WZm1tDbFYzPbvUGamcKhVKJVKttRlJpOxLQd2d3cxmUxw7do1U4Jc4Q9AaF4lUyyEppxozIg485pk6mw2a0UPpVLJFAWVBDDzG2lNdekPlh1OJhNDHcrsFAKOnVoktZCqlFXQ+N2Hr8pfWuuqfKiCrGiF1+P/Po+dR0shkAAsukgGZIS11+uZ7+OnN+Y58X7do1pXXkcTziyTy+fz6PV6eOONN6zKhQXuWuJ1dHSEdruNXC6HarWKQqGAer1uA5BOpy1aeHh4iOl0ivX1ddtmgAsvA6cbxGpyH8B9lrRarWJ/f9/mZO7u7uLy5cu4desWjo+Psba2hs3NTdvW4KmnnkK/38fVq1dNc+dyOfNrVehZ0vbss88iFovZ4sf0T+k60Mcn812+fNnSJ8AMutOCAjAYrf5moVDAyy+/bGPAVdKbzSby+Tzi8ThWVlawt7eHer1uSklzxVGWz3ddfKvkFxXMS4+pf0ioTD6k28Kx01JAvZ8WmTyIMAJLJJDULFpQDMAqdqIejgPjO/La+f5/UcdqZ3JLu2azaZaPDKhTiKbTqVk07sDM6+zt7VnbGaxhhcrh4WFo4SXuYUn4S4upBRKEfmTgbreL7e1tFAoF7O/vIwhm06zo62SzWQwGA9toZzKZoFqt2rlcCoTWjD7k8fGx7czlnLMV0IfDoQVuGNzR0D/hK4M6wOm2DBxTAKYQ0um0zSihj6nzE3ldncdKBc3x4LWjIOi87z5yUoo6jlaONcBUYiq0WsKpFlPb8CC0FAKpkDWTyZglomZi2JyMqv5A1EP7/qYPT/VdB+bg4ACf+9zncO/ePQvYUCjIKACMATudDtrttmlxkibSy+UyksnZ3pHHx8f2DI888ohpV25boEzJ5+dq6ISAuVwOg8EAGxsbuH37tm02xDmVly9fRrFYxLvvvotcLoeNjQ2MRiNsb28bstjZ2UE8Hsd7770Xgv3xeBzr6+tWw3vv3j10Oh1sbW1hY2PDcp2lUgmpVAqrq6tm2RlMIhTVoFSxWLSC9ng8jmeffRbvvfcebty4gcPDQ2xtbYVWTjg8PDSFRCWo1orX1ZiAbzGVt/Td9+18eKtQk89ABap7qWibFLH5KZEHpaUQSAZW6EBrUpvQAbhfe0VF0tRqzoty6SBp53W7Xezv79vUJ/qMvmCzwJvRYAajuPodk+KJRALdbteg52g0wsbGBrrdLiqVCmKxGA4ODlAsFrG+vo47d+7YCuhc2Io+W6VSMRTBpUI4XUu3e2dek0t8MEXCoFWpVLLdm3ldChO3CKBC3NzctC34mChfWVnBxsZsAk8iMVv1jv3HqCu/M2hFl4NMW61W0Ww2becwRm2Z96OlpS+slpFRWj86rrw0jzeixt4P9vjH8JpsByOtmh9XHzUqmPNt50Nqw3WLM+ecrQXD6ULE7exwX/DmQRPVYL5lZUXGF7/4Rbz88ssW/QNg5V2FQsHgHH1Kntvtdg2yss26MU2/37cZLbQEhGof+chHzDJzfw5GZIvFoiXUb9++jXw+jxdfnM0D39vbszQBC7qZA2X9qib4aVmn06nBRsJMLh796quvIggC7OzsoFgsmoJ84YUXzGpyRQdOGYvFYlhZWTFFCpz6Vuxr1rDyP47D7du3kUgkUKvVrHAfQEgRMuXCdBiDbfMEkfzkQ8d5ENVPpUVZOLbfT38wwuvzpM/b33ZRViC8CxLhiNaD+hrsLGjgaylfEP0gEK9Tq9VsKUQmv8fjsdVkUoOT8Rg8oqDSL2OQQ2sraaUI67gA8ng8thQH0xBcyiSZTKLZbBpcvXLlCpLJpG26yr5hkTuDIoPBwGaPTKdTVKtVxGKzld93dnasyII5116vh729PbTbbdsTJJvN4vHHH7ft6ZRxafkokEwb0bcm6YwN/3u5XEalUrGJ3loYTmhI5aZzTDVRfxb5Qnte0IfH6HH++VSU9Cvn3cP3Ib/tBFKFRddX1ZwYtSQnwQLzJ4L6HeDnmXyLyverV6/i8PAwtCYOI4XcEk6hCSErc26E3YycFotF2xzo0qVLVojd7XbRbrdtkWfWudK6sW2sBFpdXcWHPvQhHB4e4nOf+xyCYFY/urGxgRdffNGWPJlMJiHIWS6X8cILL6Db7eLWrVt45JFHkM/nMZ1ODSbeuXMHX/va1wAA29vbuHTpEp555hmDwZqbW19ft5I/QlFFMTpf1Y+KsqidTFutVvHMM8/gtddew+3bt80vYx9TubRardBUPAbVdGz91FWU4J0FTX1e0jwkiYpB1wbmbBCdNzkPRi9KSyGQaqVogXRwtFrHd6CVompdeX0geraHCjcn9nKKkM6I96eGUZNrbooWlTk1LptfrVZDO1clErP9GjmJl4NKiFgqldBqtdBut83qvvnmm7h9+zbG4zEuXbqE3d1dS7kwNcL6VfYNLSE3cR0MBjg4ODDoRUHd2NiwreQ2NzctAswcY61Ws0Jy5lfpPhARRLkT7EP2D98JsamwGMiLxWJWZM/gjS9A+n1eRDUKqkbB2SjoC5xOPOA5VDRsj9a0Ku9FweYHsY7AkggkcH/VDWsmdZ0ThSvzOlMddV9o9bumRrjA1N7enk2DAmCMw41buUWc+otMf7AtFGLnZqtz7+zsWM0mN5rNZrPY2tqCc852jr59+zbu3LmDd955x2Y7XLlyxVYuv3LlCp555hl88IMfNGvNlQl433Q6jcceewzZbDaUx6P/xp2Pt7a2zJo+/fTTWF9fx2Qywebmpm1/R2GmYnHudL6jblpLAdF8IVENx4MuAAvKM5mM+bVXrlzB9evXcfv2bRt39hXzvFwyBIClP3yle5blYzt4HNGSoqZ55+v11YfU735l2FnQ9zxaCoFU7UnrqKvMAad7MKpP5ucbKQhR1s+/n55H/2cymVhOTNcTZYSx0+mYHwkgxIDMzxHuckoVC63H49nGOSyabrfbxuSMXpJxqYFTqRQ+9KEPGXOur69bYIbheFYD5XK50GLTjzzyiFX2OOews7OD27dvo9/v4/j4GLFYDJcvX7ZiclpzBqyYPyQjc4V1BlbYLywYoIWkgvMZkkEnBmum06kF8AqFgsFf7vTMutq1tTXcu3fPqnl0Fg9wapn8IJ8/5uoCKQ/o//zPzycCCCkBjbQqD6rrxfs9KC2FQPrmndpLtTAhq/op7AANsmhH+NFUdbp1QNixXDqD1yTzkzl0EWEthidjUWvm83ns7u6iXC5btJh5QvpGumDTeDy2Sc0vvfSSwWQ+MwuzdeoV20HYTD+LtZ6MDHNVu06ng93dXSuy4Lw+9guL4hnM0rl+uicKrabO+Gf/cXkTjiGhn0JPMivL47LZLCqVCmq1Grrdbqj0jumlVCplwS2d6cHrLUo+3J13rvIIv/M5KJjkSQqktmdexHURWgqBBMJCyXC+Chon4Wp0ix3ll9LxeqR5US92LHAahGBkl9CJzMbCcC2Tou83mcwWuMrn8ygWi9jZ2blvRW4ul6G1q3zRNwPC69ho+icWi9mcSSodpk7YZ6rEfMXDPmV7adFV2Em6cDMttY4N+0SFkYqF7aNgBkEQ2vpPx4BVTow4c9qVTh9TREHkFKVkeU21dEr8/awA0Fk8qYZBCwO0zlVRl2+xF6WlEUggXGHDAQMQmg2gnRrlqC96H/UlFS6rkFP4adEYSeRg+H4vF3sGYNCbn5UoyPQh5/ks2rYgCEKr8Ol0LYVIPF4jmrpKOqOVRBucOkWB0mooRRxUUD4007b646CIR+Gv769RWXBs1LqwCojt9cddz4ka5we1Uj6U1fHQZ1eFFcWT2r4HoaUQSHa2Wizf7OtctKiBBU41JI9RDK/X5vV5HcIkBnGcc6HOJiPT12T5FP1HtTCTyWwZj3K5bDPnaVU1RM77U8go4Lr1N5+b1/YnHQMwYeL1GMBhRYvej20PgsBSJbpAMYBQVDQKcZARad382lX6jzrfUmGs5papOAqFgq2UwMJ0jtXR0ZGlgxhAAxCKF/gCyv5hn+t3HX9995/TDxix33zD4Ls/DyOESkshkKpV2XG0MGRCnazMDlI/LAqK+BG1qI5TjaclUWRozviglmekMJfL4fj42NoQi8UsEMVoJH0o5hZZzaLQhvfR5UsUglHAKARq2RVOqT/oBzf4jDxGfSJWvrB9moPT66uroOkff5kL55z53pqTVGXI/tB1aWmptSqLAsBzmQOkr0zkom6E79P5Fs8XGF8AfcWt//Ez4b6iKP/1sIK5FAIJ3J8jpAAwcqlwwResqAFYJPXB9/F4jEKhgCeffBJf/epXTRGQWQifdSmKIAhQrVZDQRIu6qQzPHzYRktPy6kBE20/GZr3pnX2ix8oMDxXy9coPABCMxaifGgVcI02RvUbz+c+HhpdpmLzFQ+/K8SjQuAKeaVSyQQOgEV0WVvM9ij89WMHqqCjLGIU3/nPqs+syED7X8fK9x21j/zP59E3YrOdbzipT+TP7ojSYFHnz/MFSPoffaT19XUApxNy+Ttf1Pz0FwmzKMC6jAWT5EpR0Ub/WfS5NUijAqNBHD9Qoteh9dBCC60m4f31ux+uj9L66jr4DEtlSCXC+/O6ej2dbMw8Kq+pVpnHaqrBf3blE78vzhKIedZQhcsfxyjhnne/B019LI2FVFjJziaUYzidCfzxeGyDp7BMr6VWUC0IcL+VjMVmMzEeffRRm91OK6jBEzIYl7Not9s2KySTyaBSqdh/mgAnY+lUHmDGDPTDGIVl+wj31GIplAfCgSMWJJBpo5iQ0V1aX/849om2T5VAVC4uFotZmkJ9RkJ49RdVmbCP+V8+n7e+5zvndBIdjEYjtFot628VGvaPCoAGns5CVOpnkn94bBRFHe8bED+QtSgtjYWMwvb6oOw4TQqfR1GdodZEtTWX2CgUCmYFafXIjLR6yoQaNNH6z6jEMJ+DDAvgPkvnh9DnBQuUuTXVoUKqEF/7UK/B+/tKat4UJ/8e6nerz3dW3ysC4Gf2nfr+UUQXgQjGt4ykqIBfFJJgu303JorOg56qvB6WzhVI59yvO+fuOedekd9WnHOfdc69ffJePfndOed+1Tn3jnPu68657120Ib5PRMhD/4QDxSiXWkGf+ckgOljK9OpnKpS7fPkynnvuOZvXx7wiF4oCwtFebR8XglpZWTGGpsBy1TVlQDJvqVSyfKNCMPVXVBGpn8d3BjcU2hJmq4WilVFB1ZSI9p9W6/C3qNQGUQuVlpY6sr6W7eNYqdUHTtei5YJZHG+NhDLQw1kwdCe0PeqjqlL0ecPPH/o5ROUX7QNFEKrg/Hv7yvRBYOsiR34SwI94v83blPWvAXjq5PWzAP7xwi3B/RrGhyD+Q+vvPN6/nh7jO98qpOPxGFtbW/jABz5gqwX42lcHWH0XVutQ0DR5rQKkbVKG9lMsei6tkUJY/9nUN6UiU8EknKXiUP9WmYbHqN+nDEbhpuBREDUnp33iQ90ohOPnMHmMLtLM52J7uImRjjP7T68bRdq/i8DJqByj8pLv20dZx/NiHkrn+pBBEPyhc+6K9/O8TVl/HMBvBbOWf8k5V3EnO2Gddx/1W/hdoQ07w4dEannU//QtqDxP6PN0erqb03A4xJNPPon19XU0m00AsAodMtJkMglNmAVmg8x6zMFgYLMktOBYhYr31gKDqEAFfUlCNFbqMHmvDMHSObUqChEVNWh+kvdnVJnCRiWlQsQ2qwXWQgktO+Q9NQCkyycGQWDLl1BhME5AhaioZGVlBe1224JrGhCbJ1gaQSapIvIjsdo2VaIqUGoVowyIvs5rXxQ9bFBn3qasuwDek+Nunfx2rkBS6PyH8mFmVNRPr0E6y2r6HaTaTiEKBSIWi4VWCeA1tNROLa0qArUI6uTznYIRBVUJa/3f9f4KWVVRqZ/KtvganoLM4ylA2le+j+mPhT92/jNrP+lvysgqtLTE7Hc+I4NR86pi5pEqOh9ZneXr+YEf7bezSPnrYXzJb3SUNaoFkU/gZMNWrrym5PsA9H90+otaAbnufX6OPwh+p7VaLbN6t27dsk1wWIFDBul2uxbkYQE2V/PmUv/UjEzo835+ORrbTeZVGKlJdQoWBY/n87uez9/8rf0oFNoHKujso1gsZtFrzecpHCSc9H15jcBqfS77WYWKKIeWllaWu0Vzrma9XjeEwmUx2+12aAW6KCXs/877a/+eRf411V/3/Xofjke5NQ9CDxtl3XezzVjhwpuy3gLwiBx3CcBe1AWCIPi1IAheDILgRe4oFWX++TlKK8/LB/mOvv6n7+qMO+ewv7+Pt99+25LUrB6ZTk8nI6svRevC9Va1+t971pCm1vbQKimTzDtW26vXZdCDu08zsKLn+ALDVIvuZMx262Rw+or6/Bp0UzjONmv5IdtJGKzuhF5L3zmZmm4Dz6ey8N0YHUufT/w+ZXujzovg0TOtYtT/Z1X5LEIPK5DclBUIb8r6+wB+2s3o3wDQWMR/VPIjVUA4iqrFAfysJWmabFZN5UfcNMJK7fbaa6/h6tWroes0m01bAFgtHy1lIpGwNWdWV1exsbFxX5Kc56kwK1P5ljGqEkUhrVpQ/ubc6QasFCAWMvhMwoAJEYcGdBSiaqE5f9djaFHZr2w720rfkMKrQs5nUEvMiinOYOGW8cCp+7C+vm7bp/sKal5AxU/LKKSeF4yJ4j9doEutIv13RQ7KAw9iKRdJe/xTAH8C4Gnn3C0324j1HwD4Yefc2wB++OQ7APwLAFcBvAPgEwD+40Ub4msS9SF1kOdprbM02VmdzYHmHhcslyMjKIOylpSwmQxH4gJWHDRCGLUY6pf6aQ5lGB8d+H6130f6XZ9NoaZ+5zHq3/nCf1Y/qrXhdX0LFeU7at/TMtPvDILTNAyJ59Nq043Q55jHO/41HoS0D6Oem0QFo8Uf/nM+yP0XibL+1Jy/7tuUNZi14G8vfPf7zwcQzkXqwrsKoaLSCDyPneHDvnm+Qyw22x+Da4UCsJXCWVsZj5/u3kRtuL29DeB0/0euj6MrvtGC+xCcDOZHXhXaaZvV4rIvFGry2n5kV/0fVRK0pPThfPjuW0eOjR5L4adQ6TIr+rx8Ll5fGZaRVlqtQqGAYrFoq+qpEiEc10i8T74yWcRv1Iit/qb9qgrUfw7NbUa5St/QtMc3i/yO9IMhQBjO+uco9FOrov/P8xMYROC9uJKc3o8heebAWIZGSMbjdbqUtsEPnSvUinp+hXI8R4MKHHzfmirD+CF+7Rs+m64P40Mx33prWxXGAff7vWrBomAzlZLmFFkq6RcqUPnwPn5tLO+jx/v38kl5hd+jzvPRh++X89miLKN/r0VoaQRSSa0bYaFqJx6jn32oxsEiY/N3kuJ7Li+5tbWFd99911af43Gc1UAG1hcXa9IIKuGaTzyGisaPfKoW1kgyGZI7XGnkVac9qY+j+5KQefj8/Mx7+EKjczijlCH7hsf0+/37+ppzRqfTqeVxWbBAy61byfE7XQZaR+YkOTOEe2GqQvKVTRTEnCcUiwRdfFdA+QCAITj64+wrdbUWpaURSNXQ8wSHHcEEtkI4APcxkP+bWgDVZhSEYrGIfD6P4+Nj5PN5Wz6RiwdzoxwucMyVxmklY7HTfOV0OrU1UIMgCO3gpDCSbVSNq4ylaR+u28NnUcFkukALvklkDM0x8hrcORmAFcOrsPN+VI7KbJx6ReWiS3Wo5dDgjaZq1P/UKVfsI053YxqHMLtcLlsJoPYfcLortvrOfFYey+fR7/wtKtqtQq0vRU/seyp49fsfhJZKIKOwtt+RfjFz1DEUMtVo+r8eB5wmxR955BE899xzuH79OlqtFgDYGq2cWc97M/IKIFRnCcz8IM5YUIbT4A6fl8ytisGPoqoP6EM1MroyDK9Hq0nBYMCJ56ky08CK7xaoZdRgDVeKU6HlcXw2ZWDtC6ILRQDM67ZaLVuOkxv00HJyMbBOp2M7MPM5dUx990XbGMVfPDbKqvkwlf3tQ/2o4FLUPc+ipZjt4cNP/8H871Fh66jjfcyvQq/Mq9t/b25u4pFHHjHIpwxMxtFaUWVkBnuoJVVz03L5PqA+h/88atnVX6RQ6LP5jKUWQkP9ijg08qr94yMVbY9GnSno2ka1jmpdNNikCtGPC/jBER5Hq1+r1Wx19n6/b0oiyi3xeScqhaTvSr7PyGv5vuMikPdBaGkspDJqFEUxDBlCAz++Xwnc7wPo9YIgMB8SmFm3559/HqPRCO+++67BES7Wy22tCZtZW0lfl5UyDN2TMSmQ3OSGbY4KYOhzKGPwdx82KdRSH1Yre1TI1NfTJTs0xUDmJcRUeE84rMv/83zCyul0ahU18Xg8tM8nd/ZSxcAAD/1NP8/KvSq5GvpoNLKaVs4/9Qvileb59PPI5xUdA/atP0XNNw5+bGMRWgoLCcx3vqO0FGkeRPAhqQ/pgPt9VmVwpjfIFNxmjtcjQxIO6hQk3o+BCWUSFRp/EFXBaECJQkHhJSPwdy32VgvmrwygqQuSQvBFmIb9pdO9NMpKgVWFo8EhFVyNlPpMq0qZvpkW+DOqDcDcCX/Sga+MfbSkx2gb9KVjpuecJYxRqOdBaCkspHaWCqUyEzWcziAA7g/p8xgVPF/Y9bok7lHBAAmFzPedyCCFQsHqWykMnN4Ui8VskV9aUvqbaq0otGRcMgHby9pPto9BGOdOi8J5jEYsaQXV+nHWvfqeukCUWj6OhfpnfrSa5zjnbC3VfD5v5wEwa0ZkQN/ST2UFQWCrCwCwCiMe3+/3rSLIOYdGo2E7ZiUSCUM35Af2s35X/iKPRJEeo5/VUBAN6ZQ2KkuF8n6B/yK0FAJJ8s19lIXjfxqomaeJoixQlK+mBevOzZbI10S2nwxnGzRJzdnuhKy0SLQmPlwkVOMzUcDU+ql1VKjq3GkJWxCclg760JfMr9FOFVKFYipgPlOrj6XIQgMyCld5PtvFGtR2u23HUSA0QKXPy/b7RfrOOdsNLSo3qfzD8x4EMp5n4TR24K9XpEEybcOD0NIIpN8RZFYdCM2z+fBPBVhnOZx3L70fMCsU39/fty3GCUlZ0aJ+FdeE2dzcRKFQMCulx1NQNcqo0VZNJXCQda1T+mFcgY3tVYHlb7RO7B9dtY5tAU79RkJqfxaJLm2pEE7htAqd7pCsTKnWl36gbn3AYgs+gyIhpo8qlQqAmZvQ6w0rZiQAACAASURBVPXMOpXLZaRSKYt2+744SREBELaMUQqH5+i1eBwjwbp9BD9rOaQKqEL1RWhpBJLkC6YGF8ggqqWV/ECOH3n0jyGRcTjA1PK+ZVTtyFA8Ia4flSWEI/NT05P8cDlhL//TNAehpC7sRWHSnX31WbXP+Ny8nvaFMotCSh9BKAxTK0/rz+CNVi1xDHRvR5ZCKsLxI7KEf3xOrlPkr+RHN0FXJ+BzRY07z9E+jhKWKGFUZaOWcZ511PY8iC+5dAKpjAOcOvCqyaOc7qjZDz75g0OGoeYDYL5hEJzO59O8nvp7tJLcnFUHSSPAwOksfzIg82oaHJhOT7dx4zNwg1fufOXDcL0OzwPuX+WccFIFRhl5HuSisPvBJvpP/BwEQaj+l9ZvOp0akmA/UzC54p72LXf64ngwoEM/kkUa6XTa8r3sb/az/xzzxp/kC6Xfh4pIyGtUwpzJospIg20PSkshkL7D7WtyZcIo8iFHlI+k5PumZBbfL1HlQObUwSez0rHnb5zsPBgMLHnOz7y/79OqFVJtrnMRWZxABuHz6QwJ3QpO76PPTR9OI68Kgf2JxVEMTOGikuA1+/2+Fdn3ej3rD0ahuUemj2C0HbyHCj37KpvN2rUIFanM2F71S32e8D/7xGfR7z4PqQLzX2fx6SK0FALpQydfGFT7+JFYvUYUFIvqHLVg9KVo8WKxmK1ITqZdWVlBv983geXaMazQaTab2NjYMF+N16VvBZyWdHW7XdOi4/EYtVoNiUTCtqlT3zIej6PZbCIIZrsgs19oKZLJpO04zBcFRf1IrStV35vRYFYjsS/I1ITb7C/V+mS8dDptaaFOp2NrqQIwZcJJ0Iw0NxoNyznyulRq3H6OpYC+EhoMBshkMoZk/LFnP0fxhQoLBT/K7fGJ/c52sk/Zh/zuB3mi+PQ8WgqB9Em151n+EHB/eNv/TvL9Cr+z6BMGQYDNzU2Uy2W89957od2RmaNMpVJot9shaEMo5vs5tEKqIBhx5E7I3A/EZxJtM+EiAzxBENieI6yl1XP8yKjvW6tVoaJR6KzCS7+J/aOIYTKZoNPp2PS1breLWq1mgS+WyDHyTOEejUZoNBpIJBIh2JlKpcyC8nwiBbaD9beKAny+0bHWd/8/PZf9F2W91Qqq4PlzW78jLCRwvwCps0zN7PsGPtOQmXzIq/8rhPP/X11dxWg0wrPPPouf+Zmfwa/8yq+g0WhYZcnGxgbi8TgajYZFB4NgtseHanlaHOD+6hXmOJvNpjH2aDRCp9OxAQZmQtJoNMwiAjCIOBqNcOPGDYzHY+TzeeTzeVy6dAm5XA6lUilUt6q+HPvVn6zsR4+B023uFFJT8Gm59vf30e/3cefOHXQ6HVMyjKZOJhOrbJpOp6jX6zaOFGb2balUAgCUy2WzuFo8v7KygieffBLPPfccWq0WGo2G8QDHTwNw5/GZLzhRgSDfyila4/In/EzFqCgiyi8/j5ZGIKMarZ13VvjY70yN8PnXj9Ki7Oh6vY5ms4n33nvPGFDLtXK5nKVDgNP5e5pX43m8rl/tQejLgAbXiiG8bTabFhjp9/solUqYTqdotVpWvACcLlDcbrfNNyVTk1E0Mq3tY1s0Wqt96/vkFC72X7fbRbPZxL1791Cv17G3t4dms2kWntuSZ7PZ0EarLGJg3pcTjumzOudCmysR1gNAtVq1JVJisZitt6OKxeeZqPGfRwrlFaEoxFWrGGUlNW2zyD2jaGkEMgpqUOvQGqnG8TtNC5KjnHoN8KilDIJZlUitVsPnP/95xONxbG5uotVqoVqtmgABsxUBCLM4CNygJxabrXTORbEIwdg2Cma9XsdkMkE+n7epXABsdgOVwNbWlglwr9ezrdvu3r0bgn6JRAK9Xg8vv/wyAODRRx9FsVjE9va27VFJmEVh0IjrYDBAuVy2yC+fhfCQwZnhcIhWq4XJZIJ79+6h3W6jVqvZin067Yy1vJubm6HqHVoQRmNzuRwGg4FNDqeC4mrunU7HoqulUgmZTAa9Xs8YnTXEKpQ6vvyuqGhe2iMKUamFJEymZYxaVNpXbCRfwZ1FSyOQQLgTdHYCEO4wjR76wRxeY14uSgdO8203btww36XT6dg+H4SlXI6QyoH+GxPuLAQgTOPEWg68BokoeGxDPp834WfejdZlc3MTzs2WneQ8zfF4jKOjI7OS7KtUKoX9/X3s7e2ZNaLVYeka+4jWh+kHJrzZN+PxGJ1Ox+B3o9FAp9NBEASo1+vo9Xo4ODjAaDRCpVKxyHK5XEa1WkWhULB5i9wMt1KpGEyl78x+4jH009kuTmzmWHAMdNFlHWd9KTrh/37k2T836jpaKKERZl3AS1Gc+uxRQaKzaGkEUgMn6jfqRGS1cjxG85AalADCCzj5GlS14d27d3H37l1L7gMz2Pfoo4+iXq+j0+kgnU6j0WiYoHLT0EqlgkKhYEIEzGBhLpezypJYLIbj42NrJ/exUKYg85fLZWMCCnaz2TQLViqV0Ov1UC6XbWWDUqlklpp9xK3SaUULhQLG4/F9QsIiei3OZnSV1pcrpjONQR8vHp/N4igUCtjZ2bHZ/LzG22+/jclkgtXVVaRSKdy9e9f8aPriHAtCU1p0jajm83kbw/39fRM0zT1rMb32g1Yu6e9+FD4q6MV3zTty5y2mXLRs0Y9CzxP+s2hpBJLhagoefRsu2a/CqFpHk+0KtYDTWfW+ACqsCIIgtG02LdzBwQHS6TQqlQoODg4sPcBzqSE1EOLfJ5fLmUbnbP9yuRw6l4sv8zlv3bpltZrD4RCvvfaaTdi9cuUK7t69i3a7je3tbaysrOCJJ56w/B8hcDqdtvSBJq6jore6WxeFAID5sL1eD7VazdIZtKrlchkrKyvI5XL4kz/5EzSbTdRqNdy4cQPlchkAsLGxYRsVJRIJ3Lt3z5Z5JNxk9RHhKjCz9CsrKzg6OgoFlzieWrnEHZz12fQ1b+yjhDoKvvp+o+6PouspqaLXKLTf3+fKwcJHvo/kWy3VYFEdG2Xl1Jnmef5xGmTRzg+CAMVi0awK4VG9XkexWEQmk0EQBGYpFL6oxifD0HJztofmpnRBYvqSiUQCh4eHBlmHwyH29vZweHiIN954A41GAx/4wAdw584d5HI5s5wrKysGpxgY6vV6Jpy0+LTchNgUAE2XEMLSZ+RzAkC9Xke/30en00G5XLZKm4ODA7zyyitWDlcul3H58mXcunULq6ur6PV6uHv3Lur1OlZXV9Fut9Fut/Hkk08in8+j2WyG6kEZrRwMBhYEopKmD8dcJ90AMj7H0U8vRRUMkCeiAjB+IEaDNSqAWuXkW2bfXfJ58yxaCoEkqSb0YYUvgEq+ZpuXDPZD4jx2NBqhVCphPB5jbW3NIpfFYhEf/OAHEY/H8fbbb+Pg4AC5XM6CIYSBmpZRv2I6nZpfSh+LloCwsN1uo9/v491337W21mo1PPfcc/joRz+KX/7lX0a1WsWrr76Kn/iJn8Af/uEf4oknnkAmk8FHPvIRPPvss3j33Xfx1a9+FalUylI37XbbStZYQFAqldDtdi1No0t6sEiAecVYLIZr165hf38f3W4XqVQKH/7wh5FMJnHv3j2USiXcuXMHKysr+PrXv44f+7Efw8c//nG88MILaLVaqFQq+NjHPobt7W383u/9Hl599VXLMzIKvLu7C+ecWVz2k3POoG8ul0OlUkEsNluqs91umy+qs218WOgrcT8GEQVV5wklAAvm6C7Z8+6n7pcvoOfR0kxQVijBByLc5H/qTPvRLI2IRXUM816a9FZHfDAYWLUMAw+0Rt/93d+Nxx9/HCsrK6aZNXBDyKrLcjDSyvbqrA/mE3u9HtrtNm7evAnnZiusXb16FdPpFC+99BLy+bxZiWeeeQaf/exnTXCuXLmCVqtlQZXHHnsMiUTC/N3V1VVsb29bFRBzd8ViMeRj06pouRwDVIeHh7h79y52dnbw0ksvoVqtotFoIJ/P4/u+7/uwsbGBdDqNxx57DJ/73Odw+fJlC9awcOH4+Birq6t45JFHbCXy69evm39N/5awjzlOpj34vIwQ0xr7y7iQ1BfmOPNailT0pUURCn81gAOc1rDyPwbzeA8tvtd7f0N9SOfcrwP4twHcC4Lg+ZPffgHA3wJwcHLYfxUEwb84+e+/BPA3AUwA/CdBEPzLBe5xX5ha3xWb+0EdfqcAsLP86Jp+1nOAma/HdAAArK2tYTAY4Pr16yiXy3j00UextbWF1157Del0GrVaDc45XLp0yeAdEK7DpN9BuKuKhkEVZbr9/X0kk0k8//zzJvj5fB4vvPACXn/9deRyOTz++OOoVCoYj8f48Ic/jO/93u+1tBA3lmWf0Td88803AQDr6+tmMXX7dFVk9M96vR5u376NO3fuoFqt4oknnkC1WsXVq1eRy+Xw/d///SiVSnjppZcwmUzwmc98BpVKBaVSCfF4HFtbW3j++ectsuucw/r6OqrVKo6Pj1Eul1EulxEEgVkdBmAA2NZ+yWTS9lcBYGve+nGBsyyQD2FV6Nj/HBvfMiqfETLr/prqZ5LmWd9FaRHI+kkA/wjAb3m//3IQBL/kPcB3AfgYgOcA7AD4f5xzHwiC4Mx9yOdVWKgF07KlqDyjfz3g/nrFqIIAOvaMOjISycABYdbGxgbW19dxcHBgAtZut0NRNoXaDC5p4QC1vN6/1+shmUxiZ2cHmUwGKysrSCaTqNfryGQyePHFF5FMJvHHf/zH6HQ6GA6H2NjYwJUrV9Dr9XDz5k0cHR3h2rVrSCQSNn9wNBphfX3doqpa40nmU4uu+TSue8p0w507d3Dt2jX0+32Uy2W88cYbVu63urpq9ax7e3soFov4yEc+gueff9581XK5bDlEBnIYyOKatvS1tIiB0FX9XFVsPManecIapZijrqGCpnzn58L9II7Pg+9LUCeI3rB1Hv04gH8WBMEAwDXn3DsAfgCzvUHOJO0cP7cIhCevKhxhZ2gBNI9XBgROp2ipgMZis01ykskkut2uaVRq5lQqhaOjI2QyGfzoj/4ovvCFL6BeryORSKDdbltROQcNgAV5tL6VkUbuH8LSMK4Fy2X9GeLvdrvo9/vIZrN46aWXcOXKFUuQZ7NZXL9+3YoaYrHZ8ogszyNz93o9rK+vW1KfQRFN2xB+06pSOZVKJVQqFVSrVUuPXL58GfF4HPv7+yZkyWQSP/mTP4kgCLC3t4dsNmv1v/v7+4jFYmbVO52O+erM5bJfNAfKsWI6RdFMFM8A8xesiooZnHecIheNrFKJaAWUz2M8XwX1G20h59HPOed+GsBXAfxnQRAcY7Y565fkGG7Yei75mg84jVD5VRT0B9WP0BB2VMf719aOYsqD6+P4ETlg5ptcunQJW1tbZlmjOpwKQYMJ+q73JvPH43Gsra2ZD0UmAIBms2k1q/F4HO12G6PRCFtbW2Yx2XYAZmmZwonFTrd3U8jMGSDsM/o7AIwBqdSYa2VAi4tDx2IxlMtlvPPOO7agNO/F6DOvR8sSNcNDkRBJ16nRqWJ+Ta72adQ4Ky+oKzTveP7mC/tZqCzqd/3tm5H2+McA/j6A4OT9HwL4D4CH27B1Z2cntGxiVLhaB0QtpKYg2NlkamuA+Asn97Z3WplyuYxOpxPaGoC5QVrKyWSCF154AX/wB39geUXdN5GThXWrOjKeO4kgptNptNttFAqFULmawjta1Hj8dAYKi7RXV1dRLpfR7/dxeHiIZrNp0VE+DxmYQRRaZc4o4f/0mxnQ4bOwrK1YLJq/m8/nzUrwnOPjY/NtAViwhWkXRpidm61TdHh4aM+ogRYAoUomRolbrVbI31eh1eJ9/h8FT/mbr/DnWVT1Of2aVa1bjYLNPp+p4l2UHkoggyDYl8Z8AsD/dfL1gTZsBfBrAPD8888H3n9n3ftcC6gdFOWs++cxN8ddlzQIw+goGb5YLJqPt7q6GgqKcEDod/Kz7vkQtdgULaMOvEJe55zBO1pwMiiL3X0rwwJ1Cok/T5D35XMqJNR6TVo8P9nNaVVkPjIvg0m6Kjnrgek/83cyqwZpooRKXZEo0qDMg0LEqGsB4W0I572iYhOLQuR59FAC6ZzbDk43Yv0JAK+cfP59AL/tnPsfMQvqPAXg/1vgepEOsN8BwOlsBdZfkjSNod+VtLN9SiRmm4Ey4U0B2NjYsILmbDaLbDaLH/qhH8If/dEfWdmaWmwyKgCLMtLiMGjE8jDm2ci0o9EIx8fHBgV13h/rUFmczgQ585sUBAC2iDBwuoIAI8nMuzLQREvJZ6DgcnYLFQV9wG63a9YaOJ0mFovFQmkjtbiM7hI98NlZEMDZJBRU+vbMP+r48xgtU1uEoqKf5x2nRQFRrpPPV6pAHlYpLJL2+KcAfhDAmnPuFoCfB/CDzrkXMIOj1wH8RycP86pz7p8DeA3AGMDfPi/CSponiPofLRVzgRx436GOuo5Gcv3wNwV5MplYVBHAfT4M/bHnn38ex8fH+NKXvhSawKzwyF8RnNdRpcF7cADV1yN8ZkUIGZHCTv+JqQben4EdMrVO5FUrRybyUwjqF2uAjM+gzKYMSiXB1IkP42KxmCkljk3UWqYcBwo4lcS86KoKAb/7PBFlfefxYNR5/stXEjru7Bdt24PQw27Y+k/OOP7jAD7+oA1RyKeQUYVR4Vi/37cVxn3tdZ6A+r9r3pI+TqPRQKVSsUJw+g7D4RDf9V3fhcuXL+P69esWvKCvwfYzYMPyNVoqMhsFkVZeC9vZPgqFPk+lUrFiAz4PLSKtMc+jP6M+ln6nddUAznQ6tU1sdKI14boKNKuROClac7mEoxQo+l86BlRSVLLsf5YdxmIxq/XVPony//S3eYLg+5BU8P7/mmbjc/i/+TykNC+vuQgtTemc7xtGhblVYHkMXz4MjbKuKrD6u/p9DEYcHBxYGoDanAKVSCSwtbWFra0tHB0d3RchBGD+F9up+2Bo9QfnT9In5P00jaMwnHBXK0H0eQgltWIFgAVLNL3AKKv2n389tkVTOlQqDDqxOIGWkMEj9hfbpXuG+GkDHTNadpYYUiB8UojrM7/2WRSxv6PIv5YqxrOE8TxBXYSWSiAVSqnQscNpFSaTiaUolPF86+BTlDNOJlJfKpPJYGtrC7dv3zY/jlaIjDcYDGwSMIWH04Xi8dniVMz3Mc9GiE3/ib6JwiCt9tHIMdvvWzr6g3o9CoHCZCoc4HRbckaOmbNkXzK9wYAL+9O50y33OA+UVpIC57sDOrOFz8C+5/10ORRdUaHdbiOXy92nPEm+76akUVkVSr8vo/iQCkcVhM9HUf6kKhifxxalpRFIIPqB9LMO5nA4tJeu6O0f70OHKIsZ5V+WSiVcvXoV3W4XQRDYfEVdzoKzKHxGoS8YtaWdVn0o/FKop8KoPpX6giqY3G+R9/D3PtHnV8ugDOtv8KPn+AEXLbDw20/FqqjBX8hYq5VUSWnBuFokfYZ5n6P4ZJ51jDpXzyf5/mKU5Zx37sPS0ghklEWkxVTYlEqlQgvxcl0WZaR50MEfMJJ/PBm9VCrh3r172NnZMQvJ3ZZKpZLN3uc5bBOnD2nAg1VAtDw8h+31AyjqSwOw9V95H12MitBOS7uY9iDk44oH7GNNzvtWlsfQ6nESsy5szLapf8j7UiEQfquC4bZ0fFaSRlp1UjrbEqU8tQ/1syqdeWPu84UaAyIen0fmCeciMHZRWorZHtohUdaNjrW+qNXJAKpp/STxovcj8X6cXsVQPwWq2+2i3W6HICyvS2afTCahiKc+E3+LaocKoT4Lr8ln5bV9iwLcb630fL2OKhmtH6WAM1jF8ymc2te+4tDgh/a3789S6fCeGtjx/WOSCklUH/pje9b4+5+jrONZn33+nGdF/fPPo6WykD7MUuef1SuZTCa0RCKhJAMJ1LBaRqf38OEjf/fb0u/3sbu7i3w+j9dffx0rKyvY3NxELBbD0dER7t27Z3CWpMxOi0TrxLA/j1NfTKEomZdwl9+dcyELFwRBaK1S3yoCp5qeNbT+M/I/9pUqOs7oT6VSVpbH3zkTg343hYnjRSH2Z0FwCRDtK7/Ej/lYILxAMa+tQhmVRoriK333UxP++EcJcxTq8hW58mqUz7ooLYVAEoaRtPPJLAxIMMgSBIGtWMYSLTKDamM/mqbC7qdWVOsSriWTSVv/hgUCXJqD9aCEfhQECko+n7cV1VZWVgCczqqgJfLTEgpRCfF0GRMKIvuLQY92u22Br1gsZnlMzu1koYBzp0XkfH6mGDqdjvl7nIStz0Zo6ytM7TefGSlQCj9VGDU4QjhLAY3FTit+/Nyeb5WiGN+3mnqu/u4Lof8cvoWcZxX9XOgicNmnpRDIeZAACGssMgdnCFCjtlotlMvlELPoACoD6W/qc/BeJFosFkBPJhNb4yUWi1nKgzPzeS2NcHLTVqZMaNFjsZhZQDK0anvf6tJvpc+qa5dyOwPNxbLttFS0mpzZQQGipWPqQiOatGi6QQ8tNK/JDYYIYdXXY7CJxzrnzN/XqWi0sgqhFbJSIdMvVasb5bv5Yx1FOvbz/D7f9/WLAeZd82GEUGkpfEifokLKGvzQvBR3RtIi70V8SF7Th8p8ZzgeOF1MSZdt0Coe9WH5nevj+MKlfqbv26lPqKT/advJMMxr0rr557J9PNZnLi3y1r5m+6KsUxAEoefWNqtFZJ9QGPl8mqriu/aFfz+fL+b5bPOEJgqKniWMi/qHZ9HDnLcUFlJJ4aVWjxCKZTIZTCYTqybhSt4rKytmdXQhqXlJb7VGylDKKIwuVqtVWyyY53IyMFfppkDQN2TbWZs6Ho9RLBZRKBRsNogKiw6a5lF1q3KtSmI7mQtku3TGBtEDI7yce8m+oIBUKhWbo8k+ZrSYxGsq9GP/EHZr26IEjxFhWnD1QdVy8n8dM3/GxDwm93+fZ7Giflcl5yutKCOh14mCvee1NYqWwkJyABQeKOl/uno0GZGQzodE8zrLv3cUEa6S6VdWVmyBYC47QWvtWwi1Zt1u12o81Xpr26KgF5l0XkqHpAzD9mi6guuqKjzzPzONokLgR2/VirH9flBMhdZHHfSZNfKslpavKEvpk49s/L44b2zP+t+3ymf5qPOus4glnkdLYSGV2Xwfij4ZmZKVIZwlwW3QarWa/ab5LzKSX/WiTBXl9Cts4gwNLk5Fv5DXZDu0xIyR3nK5jMnkdPMbWh3d5JN+Gq0a7xOLxdBut222PgDzy3h+Pp+/Dy5Pp1M0m000m01bTLlSqVj+VKOVtFJaUcOINp+f1UdcOYERXQZ71JJqkIv1uvQhaTF5f6ZQ+JkuAscHOC3VIx/oOKry9hUw38/zE8+Cw6poVOlGBXN8V8mPWSxKSyGQSn7ncfAoOAxWMNii4f5+v39fuRgQtiKq2dlpfrTVf+d1CFE5eLRCOt+R59DfpH/GgIROcKV1Um1PNMB26ox6zRXyurTEtDTMK1Jw2QZaUG0LAzoK1RQyEvoz8qmrr2mtqqYS6B6oX6y+qNbCqp8aZQ31mecl+udZ0Xn8dFZQhv/PEypFMn4QJ4oeJrCzNALpwxAN4mhH0DJwBXBGOTudjs0VzGazNrFYz9V7kAk1MugLoP/7zs4Obt68GSqkdu60SJtC4BeI53I5izryeDI7n49WQK17PB5HsVi0NvF4tcyM8PJ/+rrcxVgXceaz8HwttGB7eM1MJoNyuRzaiJUr6GnUVWdr6Ips6m9qnStfVJrqa7IQQS2l8oevlBblqbMg5zyBZT/rigGqRPgMeh1Vqv71FqWlEch5xIdTTUmmYBCFy0wwma0F3Ro9nGcJ/QE7y0+jVdHNXvySM1oVDVrobActBqCfppaJgksGoNVXWKV+lvaNRjjVwqoVUuumyonna56TDMnnHY/HtmYt265CooypFpLn6owPv/2KWHgd9dFVeUZRlOA9jJWKum7U+/tBSyOQ6sMB90MSzUcBpwsncSMXzrbnzlVaxaKDqgzL++og+oKpGnYymWBzcxNXr141a0yGIhQjU3H6lXPOtpOjD6yVRLpEI+9F/0yFF4DNvOAxtMhkctXk/J7L5UyYgyAIbeHGZ+QCVvT5jo6OzPcbDofodDq2/ixXLt/Y2DBYrpYkCAJDEAzg8F3zvexPzT3yHCqxKFKf0SeNlPsBsHkBH/8YjbL6L6Xzrj/vt/NoKaKswPycjTKq/keG47KDhFMMbPz/7b1rjKTZed/3P9X36ep7T8/0zO7szA5nl6REcs2bDDgyIDqQIgICYyCO9UEOnQjxFxmJEwSIbH+IhOSDbcQKHChQZOsC2pDCCLYjSyIdiXQsEStml9qllrvcXS53Z3YuO32ZvlZXdXdNX+rNh+rf6X8981ZPD7U724zmAI2qfuu9nPec5/p/nvMcQIKYT1omQaNP0G2gnXk8mdsRVKQ/5Tswiz1W6v0py0KRDk2miEhGbeLvFcEH/EQXSjCZaybPD6bgFc+mTIgzCde7nx5RcveT+fNkBWcozFn3O515uTbSgY+dn+90E+fRj99Pm8b+d7Ocup3/vbQToyHjxEWt5eAHBM/EkvANuLO4uJgZFISQZ+CzEBtEi7rEdGLjmWjXnZ0dXb58WadPn9aNGzd06tQpra+vd5Ti2NraysgsxaJITk8p5TKNaDSAIUdu3e9Dw7lmiz4ajEfcknNINRwcHMybq66urmYktVqtql6v58p0vO/du3d17do11Wq1vO0ewodP4pBoexc2Pmf+npI6EhXoJ4KUTCbMVb+HCyCPUTutYP6XYQexOZ1Fq8ktDhcAPDcK78iIxwV+YjsxDBkZ0F/OTRAGHAkOw1WrVTUajUwoRVFkwMN3fyobHF+AK91rxjBBlUolB+er1apmZ2e1u7urhYWFbIq6lqC/Hg5xs9QZzwnbzWpPHMAP9T46CITQ8L/BwUFtbGzknb3QeEXRrrJH5kDFhQAAIABJREFUGIc+ESvc2trS4uKidnd3c3iDXZKpPO5CxIEwTx8si0vCuC5ofHxcEMXG3DutdCP4yCA+nz4XR2nKyPD+e5lGjG7O9y1DRhNH6lz1zYu5eeeADfG+zc1NLS0t5R1+yegZHh7OuZeUzWDQqKcKQSOR48Q50RVFofPnz2tsbEwvvfSS1tbWOurvuBkoHe7nMTIykt+BPFR8S2dePy6pQzJj2nmIgeshoLGxMS0tLem73/2u9vb2dOXKFY2NjWlraysnOLD5aZTm7JT82GOPaWZmRlK7YPPm5mbeQ4RKd4RZJHUgtW5q4jZIneapo7PcH5Au+ojOWI5G8wfjc0635qZ+dE/43e8d5wQtCU4Anfqn95drjttODEN6iwPlDFn2G8RBcjSmDst9AFTIrikDdhw88QlFKMQJh2m9filmq3RYtArC8+px9NtNQPe7vF9uPnkfo2nkAE+r1V7eNTk5mXcpZvUHTDwwMKDp6Wnt7OxoY2MjX1uptMsvnjp1Koc9AF7Y0g70uGysPPjvaDLvwSoSWnQX4hhE4ewmu8cmo7/YTYtGZu2m/cqqOpSZpBy/nxA4bjtRDOmmqecuMpkMjgejmRi0E6UDt7a2tLq6qmazqTt37qjRaGRmxeyCGHz9nvuKTAiEnFLKKyMqlYqWl5e1tLSU98tAYsLgZLvwLhMTExkgARSiUrprYN6LT7SKAyg8B0Yn24WaNGgp6uNgrvb09OjOnTsqikIf+chHtLe3p9XV1ex/ewrbrVu3siA7deqUzp0715GBQzUCn6OYxMG80vDjEay+pwoFqHlHCDk+h/vwv7s4Ufu5BRAFuTdoLqLUnsgBDbhW5lpn3Ci4uyHGZe3EMKT7BpiRUmcFaR9Yd/zRggA109PTOX+TTWs2Nzd169YtDQ4O5vQ0dkrmuW4CM5CO7rEucWdnRzdu3NAv/uIvanl5Wc8880zHNt0eu6OvOzs7Wltby+BOtVqVpJz54xXu3Cx1AiR8gsYtinbyOrFBzPGenh7VarV7Err7+vpUq9W0sLCgM2fO5EXegEIbGxtaXl7W/Py8+vv79eSTT6qnp0ebm5t52/dqtZrNaAopu6B0YoyEiH8PiIWwIDTSaDTyGPtmQD4H8X6MDc/k/2hJOGINvUW/z01vZ8jIqGWWTJm5Gs87TjsxDCnd62Qj4XixMhMBYnAUkuoB+GgEutnoBWkMQuvVBdwpdz/TJeqbb76pF154QdeuXcvMgOYE/IjAgKRMhI4YRuQUbRBNQa+Pyrn7+/vZj8MCcI2aUuqoFLC9vZ0XTBdFO6sHBq5UKnkDWFIQWb3PwmVnfMzWSKBuhfi+Ja4tAJUcI0AzuzByi8nvH5khmozR5I1atRvN+bM8tup+I9eU3fsocOi47TiVyx9Xe2/Is5Jakv5pURT/JKU0Ken/lHRR7erl/2lRFGup3Yt/IumzkrYk/c2iKL55nM64lEFbOQBQ5l/5BHlYgWVTJENvbW1pe3tbe3t7Wl5eVkpJq6ur92hIBhbJ78w5ODioO3fu6Fd/9VdVr9c1NTWV44vuL6HNCEUwudwDTeIpa0h79pycmprKZhEMye7HKSWtra11lKbk3dHK6+vrajQaWlpa0sTEhAYGBrS9va1ms6mRkRE1m03Nzc3lzXvIBa5UKvroRz+qnZ2dDI719vZqdHRUq6urHRsJ1Wo19fb2amRkRL29vVnjuX/pyROsPPGiWqT4wdx3797NZVmiIJQ668K6sGX+3UePIBzfjbZzP50ZeT/mB8DMGbPMhejG8A/SjqMh99Tebu6bKaURSS+mlL4i6W9K+ndFUfyDlNLPSvpZSf+9pB9Xe0+PK5J+SO2dsn7ouB0qc779u0+QD0yZjwDx4K9hlmAygSZG1JVrXEPz+a1vfSuvlt/a2rqnvIX3OZpQMCYCApOITBh8UDQGjYlHO0ltxkWTQSy8V0pJtVotL6oG6WTFf7Vazc8H0aTKelEUeQMfmMx9Jo8hEkJBCMIQjjq6iegmLO/OQm5cAoSm+4zu2zM+bjlFhvDjLuTLtOtRzTV/1NSRBss0eDcg6ah2nK0E5iXNH3yvp5ReV3vPx8+pveeHJH1B0h+qzZCfk/TPi3YvnkspjafOzXnu2zxTw8Mh7td5WCL6DDAJm67iL7LyX2pviLq0tKR6vd4RjOYejuIdvLsWFha0vLzcAQj19fVpbW1NjUZD4+Pj2ZRjmVOz2cxaIKWkycnJ7C/dvXtXH/jAB3T79m0tLi7mkAL993eCKNfW1rS1tZUD9s1mU/39/Xkxsmsvxs4Zc3R0VJOTk6pU2ntn4NPu7+9rbGxMrVZLS0tL6ulp71lZr9c7Sm3s7++rXq/n6/DVPa6KQAHtZkVJ9PdbrVb2XTHJEWRoTAf3XLhK9+5L4vTjjXPQxO7mxLimW0vdGJJjnh0UGd8Z80FM1wfyIVNKFyX9BUnPSzoDkxVFMZ9Smjk47bykW3YZm7Z2MGSy/SFnZ2cldQ4Gpo4jdY7gOcHGtCkkM9qDwQHkIC8TIocgBgcH8zPct+MYfhrE6RD+xsZGjoNOTU2p0Wjk4lvcC9OzKIrs5965c0eSNDMz0+GnSIcxO8AYNGSj0cj5u41GI48dZmm9Xtfk5GQ2+Xp7e1Wv11WtVjUxMaGxsbHsD7J7M8TNShTCODAZIR4qisMYILrEQr3cCdrfUwh9G3j8buYb07vMh3afld+YP5pjDVFLufnKcU81dJSYe3E/z9PlLzK9P6vb53HasRkypVSV9K8k/Z2iKDaO4PqyH+7pURH2h6TTjqj5IEjqIFg3T2L2SpRuVBcAocSXW1lZ0f5+u3gVg8w1gAxIaBYK+3tjgjWbTa2srCildogAsIWt14gLun/FhGKyecaLxy03Nzezv7e0tKRWq6XZ2Vmtra1lH66/vz/v+YFmp6bswMCAms2mrly5kk3z3d3dbDlwDNQXUApAjLFDoHE/tBRaZ2BgINerRWMzdwgthKgH2jc3N7PGlaTV1VWnuY7wlo+brzI5ykyM/mN0eSItuVvh1zsoFe/poZWy9q5ryJRSn9rM+BtFUfzrg8OLmKIppVlJdw6OH3vT1tjKTNDQj44BcgfcgZHoOzDQSEHfrcqZtxsaVxRFR4HgqDlBLNFmrVYrAySs0ICAIU6Eiy/P8knFr+O5q6urWllZ0fnz5ztMcsAhGMpT+9yM9DWZPAdQCGFAOpz7gIODg/leWBbEK6negDDzbRZ4LlaJ75UZkWVqvTIezJl/oh1pzoxOC2VM0e24N2dGpwmf6zJcw5k1/tbt/6PacVDWpPb2c68XRfEL9tPvSPq8pH9w8Plv7PjfTil9UW0wp3Yc/5FBjUxR5h9EhsVXieaKX8N5EJ4vcXLzxAcPUKjRaKjRaOS8zphYvbu7q1qtpmazqbGxsWyyoY1ASKXO1DEI1hOo2Qz17t272tjYyFqlXq9rZGRE+/v7unHjhiYmJlSpVPI24WgwhA27O0uH5UK2t7fzDtCYnpi8xBfRnMQYMSvJekLoIIhIwmD8YaiBgYFcHMzLkmANsGJEUkf5DsbEfbzIGD5PMdbHb91MWac1zveYI4n4Q0NDHemMEe11xRCPx3MepB1HQ/4lSX9D0isppZcOjv09tRnxt1JKPy3ppqS/dvDbl9UOebyldtjjPz9ORxxF8xYZrJv29MmTdI+569dHsIbjnnvq/qtvZiMpS32Px5El46Yek+y5mZ7v2dPTkwPhEAW1bdBcHiLB/MN0TgfIJIF6j6tiHuPnpZSyGQkiOjw83OG3g3ASJ/R7sKkRmhWGGRwczEn8rl29MDPXuPbHNIf5/FhZexCzz+khtm4MxHgyD/4XY61uHnu/utHbu42yPqtyv1CS/krJ+YWknzl2Dw6a71t4cJ/8vx9zkMcHxGNEMKaf4+gdDTDDzSEG3sMkjUYjmzMQKcSET5pSOzY4MjKi/v7+XJ2O9ZpsPEo6HSl++IheqNjBmqGhIW1sbOTEeMIT9HtkZERDQ0OZUXmXq1evZpAGs3BycjIzNrsZj4+Pa3NzMyPFnM9Y+d4lWBcwZkop57dWKhWtrKxkZnUfnPgkggitv7Ozk5FhQCae49gAQg+GcROV353omW9noiiwI50xvwg4NCXL19ySovE9mqsRAHqQdmIydZxxohb0Y9EUiWZImekbj7k/gCZAi+DjSIel7SEOBxTchJLapij1fSYnJ7Np6kTGPVmB4tk3aAeIEO0IIQ4PD+fJhtHQvL7sjGybycnJDu0Js3sVA+KIMTEd35d34DhjVBTt2kbDw8MaHh7ORIv2BzklSYHdyvjDXMX0ZVwcnMOC4JrIdMxd2XGfd59zP853mNzN1mgGR+st0mdM4fPz6Odx24lhSG/Rxi9LoSo7N8YuXfpJ6pCymHte7dt9HBKd/RrpsMwhEh4zd2BgQEtLS+rr69PMzEwGKbgW09XzJbkehidX1bNEyMVNKWllZSX7huwt0mq1S1AuLCyoUqloYmJCvb29Wavj3xG2GBsby0vAKpWKNjY2OsJMe3t7ebEyqXMwLAuvBwYGNDY2posXL2prayuHjHybB9+GgLnhmeTQwviSslABHfbfoIOIL7ivWJba5s1jjvE+5ABj0QwNDeX/ERplGIOb+5FByxTBcdqJYMgosVyyRUb0QWdSyyRnGXLqPhH+z/DwcI7poQn4Q0NIncW2YDKYy7UD/h25s75/Bn3a3NzU+Ph4XvvnAIkTiSeL7++313ROT0/nfg0MDOQ4oqTM0IQp3OfENMYkZpw8iZ13JKnAzfT+/n49/vjjmbmr1aqmp6ezlkZTcQ2gFs2zfDBB2VXLk9IdzCmjEebSxyr+XgbsMWcxHunMxpjzzq45/b5uXTmNlp3jzzpOOxEMGTVf2Uv7hMGMrhndzIjE7cwLEaeUdObMmRxMr9VqWlxczPdnSVAEGfCLWAWxv7+fkVGQSlZGoDE8CD80NKSdnZ0cIAft5d4IBjRqX19f3oJgbW0to5E8i5jnU089lfNAt7a2clW4qampnDaHtkIwQXBoZV9aBcNjXvs2dyzx2tjY0OjoaEatl5eXJbW3deD5Ozs7qtVqkpQT3XERMNuXl5ezlUHYxpsnetDv+1lLZZlWTl80LJFTp05l7YhmjKs8/Fo3/2OIJvqW33ca0lv0/Wjd7PMIg0udienRPHETcmhoKPt0mFdoRhgRIIX7wUBoQakN0IyNjenxxx/P2T74fUhlT1AeHBzU+vp6RmP93vhdMC11earVqm7evJlLMGKaRh8a4iUuin/n0D37e/gOXAiHVquloaGhLJB6enpUr9fVaDRyZTqyjPA/0YakCLK9HcunGHv6u7W1lS0JN+OdBlxoxDTCMnpw09WRclpklpiR4z6kJy641Rb7WIZ3+O/+edx2YhgSU4aXdynZ7cXdD3FijI48xOj/4wf19fVpampKAwMDWllZkaR7NkaVdI+0BIX7wAc+oA9/+MPq7e3V8vJy1mJPP/20arVaLg6FSURuq6QcV4SBQVdBPyHIZrOpjY0NDQwMaHR0NCPSd+/ezQwnKUt2YojEQUmGJwaJwOE7Gg5ARjpc60i64MTERN4rJKX2EjcWZTcaDfX09OjSpUs5Ta9er2t9fT1bD6w+kQ7R2qWlpWzKUokAxJXzCOXw3YWtdC9jenIIv7u56ih7pVLJwJcjqu7H+5xDWxG9L0Nvy9ys47QTwZDRBvfPaJu7s+znlZ0rHSJkfj2TirkyOjqaNR+xRMwj7weTjOk3OTmpc+fOaXd3V+vr67nCN2AJFQL6+/uzNsFnJd4nHUp1/vDL9vb2NDQ0pKIoss/J/o70D+Khn450oikZC9+WgHeB8bg2rpB3XxyTemRkJGtXtCnfHZHmvvzvYBhzw/iUgSau4aJPGZnhfkTP2HazmNx/dLQ1xh/LNF6kRxcGriCO004EQzoII3WCO1KnTR5/K5NOPvAx6OyLkTEvR0dHs7+G6Qaayn1gWO5FvufKykpO+h4ZGck+6tDQkGq1mk6dOqXt7W1NTk5myB/NRn8AmjAlIdrBwUGNjIzkLe/QbO4Pw6C8X4y9TUxMZCbH9POlUr75D+9KqAZtg1lJzizMhh89MTGRBcz29naHX721taV6vZ7RYHxqNGhKKccxJeX7OrjlfaFF0zMeiwitNwA+Pj3+6DuruXDyOKbTGc3X6zqdHkdYeDsRDCnd6zvGWFB8sQjsuCmBeeGTEk0OqdOUxWSk7gx+jU8yzENoZHt7W3Nzc7p8+bJGRkYyMfX0tLcwv3PnTk6jq9fr2bfyYlj9/f0d4Y+YvOwLlB108eRu+uumFYLHTX/XXgAuaGdfbYH74PdwjcQ6UPJnuZ7ncg8qNLD1PO/MODNXmM7SYVlLvnvGlM9H9O94p0gbZW6Ot4hqx4UJ3NuR8EiP7r9HenWL7DjtxDCk1N1XlMqRV467g45p5S2aEBAajEXKWr1eV61WywAPm8H68ptTp07lTVh7eno0Pz+vp59+WkNDQ9n/I/Xtqaee0ne/+11NT0+rWq1mtLGnp0czMzMaGBjIwXmpM63Ot0cYHBzU6dOns+/m/jYb3nBftJ+b9mTKEKohrgjaSfiFXFqY0fvGeHgoB0aEufD/MG1ZTUPckZzVer2ulZWVvIUB7woDIlxAXmEIn2fP4imjlTLzt8xc7eby8D+AF0KbfiDwy2g1xsO7pQOWtRPDkFHilMV4/OV5ac+S4HeyXBg4h/gZVCRXb29vhtuvXbvWkUXjqCvajzS3np6eXOlucnIy+50kJVOa0lPIqtVq9iURBizRqtfrHcu71tbWsplMYrf7fyR947OmdFjbFW3FGOHjQegkDaSUcukOTDTPFsJExpz16uiAQo6SkqkEMMTCb5aJYQlQNIv9KuNKD8xanuU+L++BZj/KPyszVaEtHx+pM8jPX3SBuMYZLKLc/tzo9x6nnRiGjM39IJoPYplZ4uaED2hkdmfmoih09epVPffccx31bUimdt8GgqHCHBK+0WhocHAwI6BI9rGxMV26dEnXrl2TpFxEGcau1WodYQSXuAgE/Kvt7W2Nj49rcXFRo6Ojud4qAAuaind3oQbTUEuImCSmJ8xQq9U0NDSk06dP5366j44JCtCE5oOJm82m1tfXc/7r+vp69n0Z22azqbffflvLy8sZQHvsscf0qU99SiMjI6WoZQR3OOZz6RrUmcNbN4AFyyrSmfvruDRHgTRlGtbBwOO0E8OQZVpQ6lx14SZGmQnrA+ufniMZJyulpLm5OS0sLHRMtNSZQYIZGU0WtM/w8HBe4UGe6N7enk6fPp3DAO6TIfUpM0J+J0uupqamVBRF1mYeAiBs4zme9JXvHioAbWV1f61WU39/v2q1Wg7iU2vIfVNHV31s8de2t7ez6Y5Pilm/ubmZfVISGPb32xUVYEY08OLioubm5jQzM6Pp6el7GAsG4TmesOH9PQ59xfl3dJuxiwsOoIUoBOL9YvLA9y2ogxRxc8KRVSc2zo8OtP/OdzQcIAL5leRqUs37lVdeyciim2n4Z6BwDvwQ+0M7spJCamekDA8Pa2dnR8PDw/rQhz6kr3/967p586YGBwc1MzOTg+ZUIhgaGtLExEQunuV+GHHJ3d1djY2NaXFxUadPn85gDnmgvgMYUh30c2trK4NSoL+tVksLCws59IFvtrGxoUqlXXXAl6ShGYlH1mq1DGbdvXtX77zzjvb393XhwoU8xjDt6uqq1tbWtLy8rMXFRVWr1RzHbLVaun79upaWlvTxj3+8o0YtQkc63CY+glrRXOwmeKOlxPWMNQi4J0pAi864MZmcvjLmkQkfxHQ9EQwZW/Qlo5ng/0eT1q9n+dDc3JxWVlZ0/fp1bW5u6vbt29lcQiv19PR0EK2jrxCCl8CHKJi4GEdDkqOVHnvsMb3xxht5d2Pq+DB5ZPWQuwoTkfC8u7urarWqlZUVDQ0N5YRz/LKiKDqSvCEatxDcLyZ53CvVESLhnXi/iHQ6E4CeFkWRx3BlZUWbm5s5y2l/f1+NRkNzc3Oq1+vZmvB7oT2XlpZ07ty57Ie6BUDjWJmmijRQxphl56AVGSOsGBfy0WRl7ty/x2Xg2u9LlJVOl5kP0mEWD7E/bzAda/QAdBYXF/WlL31JN2/e1FtvvdWRiwmRAsyATErqgP5BH9EAaEAn8oGBAV29elXj4+M6c+ZM1lZoL5IAZmdnNTMzo6985SsZSPHNayjNSAxvZWVFtVpNZ86cye+0srKigYEBjY+P6+bNmxofH8/EAcAyNDSU11oWRZGrxtXrdQ0ODuat39HCjUZDly5dyiYwplncOMeFU61W09bWlkZHR3Xr1i1VKpW8FKu/v1+3b9/WxsZGrpNz8+bNHK/lHJBtLA6yfa5evSpJeuKJJ/JYMCcwuIMsUSBD/CR1eNK705vPI+AWTOWM6WZsBIRgPD5xadwlSelwU57jtBPBkEVRZE0iHfqCLqVZHRAd+SjNtre39dJLL+nb3/62XnjhBdXr9Ww2OdOh9YriMG9S6ixBCXHG5hIPyb6xsaFz585lDef99CVWk5OTmpubyyU4WE/IuaTWIcl9Sz3yWF0obWxs5LQvNCv9cune39+fFxA3m81cB3ZgYCALERjZc0cZH0z/lNqJBSz5IlNncXFR58+f19WrV9VsNjU1NaX19fX8B1JMdpF0GHYCmWWM0P4AXa3W4ZpP5slLgEiHaYMgti5gHJxypNrpL1ZtcMb31TGRHjz1EcYHjYZGvy99SKT4rVu38kqI3t5eXb58OaOTEIXb9Ei29fV1/eEf/qHeeOMN/cmf/Em+r0tBbwy+M6M3N5Eishszh7a2tvTWW2/pgx/8YC7ZSO1TGGVzc1Obm5t6+umnNT4+rhdeeEETExM5rQ4zGbOIQsdbW1saGhrS7OysNjc3s3+FOTs7O5sziABKIOyiKDJItLq6mmvqnDlzJjP68vKyLly4kGOeknT27FlJh/40Y84qD/dPKWM5PDys1dXVrHUl6erVq5qdnc1ETXI6jAazYJGgdd58802tra1ltDqWkoSx+ZTUscp/YmJCs7OzOZXPacHn00MtpPNxjNDHcfw/lAKItcdyHf09TjsRDNlsNvXlL39Zb7/9tl577bUcaB4aGtIzzzyjc+fO6VOf+pSmp6dzGULifsPDw6rX63ruuef0la98JUP7Dp3TYCAmFYkJgfh5/umggvsGjgBubGxks9ZDJJgs9LXVamlkZESnTp1SrVbLaWcATMT3IAaYbWNjQ9vb23nVhWt4gBbS/xBUaEMIf2pqKq8BXV1dzcgvmTJkDXn9G+KbkvJyM8JCg4ODunjxol577TU1m01duHAhxxYbjUbeEo+i0IRw0FIO0iCAOba4uKi9vfbGSdADoSzXdO5jQhfEMKempjQ+Pp777GCLAz8wNvFdFxQuhB3HiGEZxxzQktDO9x1D3rhxQ7/8y7/cMQC0W7duqdVq6Td/8zc1MjKiH/3RH9WVK1d04cIFvfPOO/qjP/ojvfHGG7px40b2Bb0sPuadL4719ChnRn8u8TMQNIf1uY7KAj09PdrY2NDVq1d1/vx5ScpmGO9DcD2l9gY4P/IjP6Jr167lfs/MzGQTMqV2fZ6NjQ319/fnbBa221tcXMwEDkjiaCQarV6va25uTv39/dkX6+vr08TERE6AGB8f1+3bt7W3t6eLFy+qVqvlkEa9Xs9otW/OOjIyopTaFQzu3Lmjc+fOaX5+Xjdv3tTOzo6uX7+ulJI+9rGP5a3vnnzySW1ubt4zjmXJGtKhIHMEmTlC4EShiqCl0sPKyorOnj2b15PSHImOjIg1FRnXW0RS3dRF0JAb61lFx2kngiFxiCEENzHJ/6zVamo0Gvr93/99vf766zp79qzW19f1yiuvZKefyapWqx3FmjxWJpVvlR2bo3YMPlKW+8Bw/f39GTmlajmpbv6OaLSJiQm9+eabeTsAtBS+mSfBLy8vZw3GRjnr6+uamprS9PS05ufn867Ivb29mp6ezn4oMdLBwcEc3wNIWV1d1cjIiG7cuKGpqalsVm9tbWWtRCzRy3mAqiLU+vr6tLKyks1z0uVgYpiEvjigxrgwR4zPzs5Othzw3ygOVna9hyL4Hx+QwsuYrxEt5p5+PKKirkldO6MZPS6a0mGdYL5/32lIGMltewaIgsO85O3bt7WwsNCBeDIoABBMGgyEP4WTjlmHBpQ6ne/oP9IvDydInTVWe3t79frrr+c9PlqtdkU5VnBQa4YY5pNPPqnz58/r2Wefze/JMxz8wPRptdoLf+/cuaP9/fb+Gt/85jf10Y9+VJubm0opZbCGnNOlpaW8BjKldm3XmZkZbW5uam5uTh/72Me0urqqhYUFnT59OtdkpZo4ZuTW1lauUDAyMqKlpaWcWFCtVjMjb25uan5+XlNTU6pWq9rY2NDS0tI9PrfXqZEO09WYO8ApiN4rEqLFmGvmzhtZSzAlKX0jIyOanp7uSLSAmaAf91W5L3QSQ29u2jJ34ABYJdEdul87EQzpfh0tmjQ0BpBB9MlGcjtD+jM4jwaDxoZP4+e4eRKTEvif9LSRkZGsod3XJFEA87W3t1ezs7NZu+7v72f/kBgp4Ynx8XGtrq5m7Y+J1Gw2dfv27Q4AS+qs7E3Qm01rz507p5mZGW1sbORyH5SDxNyNq11gEN9aALM+AlHDw8O59CW+fozjcm8EKgIIpmOcEQrMBZUQ3H/0943Bf+oIsUu0L+IuC95DR4A83NsLojmwxG/SYciM+3kU4LjtRDCkx3bcRITIXP3DkM4kTnzRPCgL4rqZAZHgu0mHWtFjWq61Jd0jCABz1tfXcxjH66QyMfS9t7e9FdvHP/5xra6u6s0338zJAP39/RobG8uJAI1GQzdu3NDu7m72Iy9fvqyNjQ09//zzSinp0qVLGQWt1+s5Cf7y5csaHx/P25Oz+xa+bEpJZ8+ezT73+vp6NjkkjlfTAAAgAElEQVRBNymetbKyklFUGAiNvLS0pPn5+Qwa9fX16fXXX9fCwkKOxTKXMBiNBAdCFl5XCLcA/9OzaIgVOhYA6u5zT/0etrkfGRnR008/nS0eGHd3d1f1el0bGxu5Ri00SDZW3EUaIYjlhWvkCwjeVQ2Zum/Y+nOS/ktJSwen/r2iKL58cM3flfTTkvYl/VdFUfz+/Z7jQdfIiC51XJNGpvBjZdrRzRJPPnfEz+OSZYTj0tv75Y57rVbT8PBwlqCYYRyDgVlT2dPTo9OnT+dNZTHr8FmoyYqJyMTjz124cCGvWkEjjY2NZVPWkyKkw4yd3d3djk1td3d3O/YoISeVRHYvH8I7DAwMqFaraW1tTePj45IOq/CRCQSgFP0pnzPGCmZzUMVRa37nt2iu+nXQhtMIyDOJ/VgiCE92mab6A429RBF2lDBxU9tdLr67YD9O+7Ns2CpJ/0tRFP9zGJAPS/pJST8g6Zykr6aUniqK4kgx4ZCxa8my8+LSmIiWYuaWMaqbsm4KuZnGMSdi91FBK2kO17NG8vz583mVBQjh8PBw3iIAs3NpaSmbs4Q5IMj+/n5dvnxZ29vbunr1qnp7e7OZidn72GOP6cKFC1pcXFRfX5/m5uayJO/v789xwtXVVY2OjmY00cs0Xrt2TU888YQWFhY0Pz+v0dFRSW2k+O7duzn5fHV1VVNTUznftdVq6datWx1hBkkZAUXLjI6OdswpcwgYw1x62iIMIh0mNpD95P61x2ARljT8PIQ4z2o2m7p+/XrWbFhA+LKgwB5SAb2V2kvjhoaGNDk5qYGBAU1NTWVaihiDb0B0nPZn2bC1W/ucpC8WRXFX0tsppbckfVrS/3vEMzKTuS0vdSaOO0rq8DgT4Y43x2FYl17cA03hSdnuV0aNDBNGjer+FN9fe+01Pf7441kDkmkjHWaZFEWRN0nFx2Ly0EqMDRu7Li0tqdFo6Nq1axoZGdHNmzf19ttv53DLwMBALreInwjkf/nyZa2treVMIQCS/f39zLjXr1/XxYsXO3ZTPn/+fEc8s16vS2qHpK5du5Y1Jygv6KYn4cfwAe/McZjXq547CIRlUam0V8hIysgwc0dzdDPiEi6MoTnfmoFFCG4BuSZ2sPHmzZs5Zjo0NJS3dseKccvjuO34C7XaHbuoww1bpfYuVy+nlH4tpTRxcKzbhq3xXn8rpfRCSukFB1EcMY1/udOVzqx6B3QAAaLvKHUu04oxzzih7rw7McEgcZmS9wV/hVAEaWoRIEopZfSVTA/2ztje3s6QPcDB1NRU1hzsAE1eLJNO1e25ubmcakfMEh/qnXfeySANWnB5eTmfT8B/bGwsE1S9Xs9+8f5+e7dlclopVekV8NAyaL3o9zOe+GkwRDRBObfsOHPmgjPe3//H6vGVHWhONCUmrGcFQS8OIjKXOzs7Wl9fzz703NycFhcXtbS0lNMGfc/L+7U/y4atvyTpf5RUHHz+Y0n/hfTgG7YODg4Wku55YWeE6EvCAF5eweOXSF/O5zOith628AnwOi8Ok/u9IWr/zRn51Vdf1dNPP63BwcGcc0r6GLV2tre3MxOtra1pc3NT1WpVTz75ZE4Cn5yc1Pz8vKrVqp5++mlJyimG/f39Wl9fz5plbGxMRVFkprx48aKKop1Cx7ueO3cuJ36TAbSxsaGLFy9qYmJCu7u7unPnjhYWFrS3197QZ3l5WQsLC3rzzTdzkjuB96mpKZ0/fz6PQbPZ1OrqarZaqKLnc4Xp6NlGMLePo4evPAvKxzwCec68zpAwJcCRpA7Xg3t5jNOFrdOMP8u1JlaFZ/o8SGLAsTRkKtmwtSiKxaIo9ouiaEn6Z2qbpdL3uGGrm4n23PzC0WxAqkUm80kEGo/hkXh/jkez1hnUEVqkowuIMF7q7W3XIiUnk8nimTAQBIZmR3qPjo7q3LlzOWwxOTmp0dHRXJ/HtQ8QPeUoPetkbGxMMzMzeSwoRcl34oWSOkytZrOZAYxarZbRW9Y0Li8v5+0EhoeHc1qe1F4jCjjF2PvibOlQ60eEPBJ79D05BxM2Wk9lllE0l/139y8jPuGtLDbtFhfzB1jn4OK7jbImlWzYmg52Tz74969K+vbB99+R9JsppV9QG9S5Iukb93tORN98ExwnZCaCQeZ4RLM4z+8bHW9MxTIfJMYbpc6K6M6cjgA6YtdqtfTyyy/rk5/8ZAZpQExBer3M4+joaF6ZQqjggx/8YM5hpTbrysqKent7MwhDHm2z2dTjjz+uS5cu6Q/+4A904cIF7ezsaGxsTPV6Xe+8844+/OEPa2FhQbdu3dLMzIzm5uZymGNpaUmzs7N68cUX1Wg0NDw8nNPQJicnc0L75OSkxsbGdOHCBY2NjekHf/AHtb29nYtE1+v1vGKFhd4sj0PbwYxunZAcgRBFi7VarYxQe8iKeXBBGgWu0wlzx2/cGwHJ7wjKKIz9+T7fHmt1vMJDPcdtx9GQbNj6mZTSSwd/n5X0j1JKr6SUXpb0I5L+m4MXelXSb0l6TdL/Leln7oewSp2S0wfZMzMwe9wc9WwcGIkEaZjUfUYmE6KIpjEoG84+KJ4PrCcfuKTE//CVKQAfABHsh+gFovjearXyPpAkVC8tLeWUOgpDpZT01FNP6ROf+ISeeOIJDQ4O5rzT5eVlvfDCC3n1zN7enq5du5bR3Fu3bqk4iDdSAYBzx8fHVavVsp+1ubmpRqOhpaUlvfrqq7kCw/nz53XmzBmNjo7q9OnT+T0Aythr0rWim6sU1PIsF+LAED4WBHPmwEgE33gG55ctl3KsITKydLiLsyeix3WNfj/pUOjTJ2iE0Apj8iAtPQj3vldtcHCwePzxtpUL80Ut5UzFy0uHBY/xRyqVSsd6Ogdv+I4WYs0cA465En3KaLoyOWS1OOFBLKRPFUWh0dFR/dRP/ZRmZ2dzxgcFjgF9MBtdUlcqlYx+8mxHYlutdubKysqKrl27poWFBS0tLeUt51JKWfsSs6xWq5qamlKtVtPTTz+tP/3TP1VPT09OHj+Yjzzu7JDMNninTp3SlStX8k5cRVFk83Z9fV3z8/N64YUX8ty6dvI1p4wj5jradXZ2Np9D2iTWUrwXY+T3c6bnPlInE7ulw7xznYN1NOYVZeA+qp8XjzsG8d3vfvfFoig+eT9eOBGZOlJnSpr7dvzmGlHqXr4dxikTNGW+BteU+Q4+2X4efXTi8CSCOEkbGxu6fft29rN4NloCbcAxSTlAT4iEBHDqqJKsTdYIQA5ZNL4UCeSWspQkni8vL+eYJnB/URRCOBZFkQGpvr6+vGwMEApBh39Meh7P9LWTbo76HDOGMezl8+6+YJy72Jh7R0edYR3Y8Xv6faOrAn1FzMCBIm8PmlDece33dNW73JD0ONeEA6TD1fbudHswGb/SYep4TpTGXAPkLnUyFf4dUtFrgyJl3V+IhCQpl4ckS+VrX/uaGo2GfuzHfqxDa2O+svEOAoe+kf2ys7OTty9Hy2Lukjc6NDSkxx57TDs7O7pz545WV1dzUa+ensNqeMvLyzlzhmJXzWZTFy9e1O7urs6dO6fBwcFssl+5ciUH4qk7i3AA7Onv79fi4qIWFxc7ksQpQL22tpYXmgPo7O7u5jIphHqazWau3gdhE/9kzBzokQ41GPPiTOLhNNeSfKJJnRZpUSA4mOPPKPNLXXg8CHOeCIaUuid6S/ciZhFwwex0U9abn8/vPoguQWn4pN20Kvd1E9p3oYIY3SR7/fXX9cM//MN5oXJ8J+7Vah1W7AZwKYoim7kuSAhqs68h965Wqzp37pyWlpZyxXR242LX45mZmQ4T/vTp01kDU56S5PO9vb3MpCCJaCFAEOoAQci8A5ra5zquwHEfHVOeOXGGc5oos4TKENU4ZzyjG+AStWpcseFWGp+uIO6H8B7VTgRDOiN40F063Hve41URkfX/GQBf0oNGdFMRwgaidr9icHAwF87i3mjeVqvV4Z+41ISQuM/Y2Fj2y5rNpubm5vT1r39dn/70pzNYhM8IkaeU8t6Mp06dynszDg8P5/KMAE+MT39/vy5evNixgSymsm8RPjg4mBc+w7isdWQxcLVa1ZkzZ5RSO4eWcpMANqw8qVQqOUNFUvYft7a2ciyUVSu+rTpzA9ECwJAUwcLumL7GmKIFmesoaL2yHimCHHf68JCY1Cm03e+MrhM06hYYNAD+wDx66OO47UQwJM0lDf9zLDIiAxi1pUsjtI3b9O4PcD3NfVhndK7xCaC5LwQR8ExHBkmN+/a3v63p6WlNT0/nnFj3q/DFuCeM4At8eX80FvVmPQUQf293d1e1Wk3b29tZc1MhjjWPHoLh3ggyF0Cx4hsoLf0sis61pq3W4cp+R1HjvLVarY5aQQiqSMjRh4z0EDVtBG3cCkMgMH/xWVzrNBKZ32moTAu6SX3cdmIYMpqG0UaHGDyzwv0MH3wPnbgpgf+C+RT90Oi8e3zRfVCuiave8QG5n6NyQP3Ly8v6vd/7Pf3AD/xAzopxwIp3xIykKh0bp9JGRkayloWpKC3p+y1y/1OnTmU0lRUeMPCpU6cygwEKYSUA2PgGrQgHGK5er2t+fj6/P5A/FQeoLYt24zxHXfv6+lStVtVoNLLG9sQAZxpHVKPZ6UyAgPTQhdNKbGUAT3y2hzf8ung/6OFB24lhyDI0TOqsJuBM6rGhsnvwP/dIKXWADUVRdMQqXRrCbGXS1PvE756nGSenzKHf2NjQd77zHX30ox/NTOGQPGEHTOrh4WFtbW11+JVkIwG2sAoFAoJJSdLGJ/TVJAg31khKylUDSEwAyGEDHAe2WHUxNzeX6/I4EOZrGhGWzhzMHwx61AID/9/n1P93ayrOU2QYpxOeUYYv0Kdu4IzTgVtb3Zj+fu1EMaRUngzOcSYPbeUmh9R9807u45vpuFZy34AGighjOhrrzbWxJxoQYqAPg4ODSinlUoxf+tKXdPv2bf3ET/xExzNhBFBafFkKJNMgfvyuvb29vFFspdJOGu/p6VG1Ws0aa2lpST097b0rJXWUqGRpWLVa7TAnx8bGNDo6mlP09vb2VK1WtbOzo1qtpps3b+rFF1/MmTloUExoBAPWh88TAghN63Ppu0w7wOaC049541k+1+53uvAsC2d4K9N+rqGd1qIgdgF/3PZAqz3ey9bN9HA0rUzySZ0vT4vAj5s7/gwnFPcR3Wcsm3Aa57lZgw/l50jKeaJ3797V+vp6rqiOVokxOnw+GGt5eTnH+aRDkx3TlVo6jAca7NSpU7l0iC9do8hWRDxZgdLb26uhoaEcaomB8c3NTb322ms5lkl+LO6FI6VlboiHspijOAY+z9EXK3NzyuYfi8fns5vgj88s037x+Y7G8hy3BB6EIU9Eps7AwEBx9uzZPBCeZuWE4szjL+wtDqh0KDFHR0fVarVyId+iKDLM70TjlbXd76G5I+9IqycHeKDf/3y1QqVS0WOPPabPfOYz+shHPqLNzc0ceohMAsMSVoCJCcIzXhsbG7l8pL9/vV7P2+fduHEj948t2IuinXYHSuuM7u8GgPPqq6/qy1/+co4n0ifWQGLFMBaVymFFb8YADck1FIb2ygSgyW7S+/xH8xYGZ+zdB5U6q9E7/biWjDmrDrDxPnE5WRkN+rVXr149VqbOidGQkcEiChZ9jwiE0BwppUVfDylf5nOUCSh/Rjc0zfNrXZLja/n9nZFfe+01vfjii0opqVqtant7u0ML+TUQrkt7KpsxNiSwe8ywUqnkGj34hMPDw1nQwHDUhUUze/IEDNbf36+3335br776aoc/TmaOx+i6mWuRQRlTkhV8HqNfFgVtWXO0O353rdhtvp2+fB58bv3a+J7drLPjtBPjQ0qdzrvHktzU8Zou8Tquda3CMeqluF+DKYOf4Vq5zJyJZjIN0xHijYHkSuVwiwCeRZ9GR0f1/PPPa3p6Wp/85Cc1PT2t/f39zBQUd6IvsVwk/UHLeSjF98ugVGOz2cwMS20YQCKYi/AHMVSYkRo0X/3qV3Xnzh1NTk5mIeFaARPUCdYtCQSHa1BMXXJw3Z2A8RESPu+RYXnfKNjph7sl3nyMy3xGF9rdzPCyFuPq92snRkN6sNhbmUSL/oEPWDdE1NPSYujCoWwGnIF0rewM6/eGuZCUvtqAc7gfSCf3Y1XEiy++qD/+4z/OmsqXmaG5WG3h2gxTEf/RTW6vJABySkaPayf6SHjCUVFfBkf1gaIoMgjE2JLcT8pj9Msd/fVkfASBLwiQOstvRhpwNL6bH1j2G5aMuxZlWrIbiOPtKA3pIGHZtUe1E6Ehu9nhZWaDS7A42c4snpnDOfgumHm+ZAuG4hrMOfctoi9J8/zbuHzMGZv4HX4T9+zt7dX8/LyazaZ+6Id+SFeuXFFRFDnsQfZHs9nUxMREBlEqlUpeCEwsEYYhocDjr+SmOkjGmDjD41Pzrtx7dXVVL7/8smq1WvZbYUiKdgEcOVjD+KPB49iReeTJA8wnWjuGL7i/m5KOM0TmZUx45lG06IzmrpHTotNf1JD0uxsoeFQ7EQwpdQ5SBEsc1HENJh064S71pM6sf5eoEPf+/n721yAqckZhZrQUpp8zWhkBwcAeAqlUKhnSZ4MdfCVf6TEwMKD19XVdvXpVZ8+ezSlpAwMDqtfrqlQqOeboS7QIp8AEY2Nj+R15vm/Kiq+3s7OjarWq4eHhXIiLUAnrSdGIjMM3vvGNjnWRLqzQ5Agn/np7e/MCXrQ0mpxjoL39/f0dha7iyh6fK2jCBUykFXdF3NrBvXCf0pujzS5YHUhzret99GO096zI1XvZ3AykuekRQZ8oxaKzH0EFBsyld4xV+qA6BO/MyHe0Kvd234asFO5NUH15eVmS8sY5bAIDkfT39+u3f/u39fM///Oan5/XyMhIXjFCrDGiuRAVi2HxBwFnuC97pNCf8fHxnHDA+1I6stU6XKGPafyd73xHX/va17S2ttbx7miCuCYURoCIPZmh1WplhoBZvdhXXNjryDnv4ytzvEKd04vPe1kIJVpesZUBg8w17+NoeAT/UBbfd6BON1/AJR7nxYF7kMHs9runcznDMZHd0DyffBcAHpOEICkBGSUqkwqhURnu+eefV29vr86fP593P0bTuqnmyKabx17W3n1A9oWUlFHTOI5kCtH3+fl5Xb9+PWvG3d3dXK/VQwOMQTcXhPFA0MFMXgXCrZk4xtGXP2quXWBL5bFl7hXvEU1OWjwWfdv4/XtpJ4Ihy1pkRD4jEuqIVxxs6ZDwXWM5pN5qte7ZNBVCRdo7o3J/iM/jXgAgrO/b32/vo0jyN5vwtFqtrGkoDMWuVzD0V7/6VT333HP6/Oc/rw996EMdmSz+TpisaBz+AFckdRRrjqCSx/OQ+im1Kw3Mzs5qZWVFv/u7v6s33ngja3rfBIjmAok5cuvFw0L+Hoyzj3VkQAScYwq+eiP6fX5u1JD41MxlN4QUbe3YAsKOMfZNg9yMje7Xg7QTw5BlcDOt2/EI2tAYeI5HczRC1/F7N/TMf49M7uaPw+7Sob8pHQarQXZBGSEaJ9x6va7nn2+XwP3Qhz6UM2AcFfblZf5+ACoQEL4cJqiblNG8w+RdX1/Xa6+9psXFxezv8Q6SsrnpSHIZOurmomumoijyPR0F9zF1//A4dODN+1CWRRWZOd7PfdVu9MM9/bjf4yi6Lmsnxof0F4mDFm1z/+OcGOfye7npy70j8cMQmHqOvLrfGVE8qXMFAFsFYI6B6k5MTOQE8GazqWq1mldxzM3N5foxPIf3f/bZZ/Urv/Irun79et4708Ei7sd7Q9hoEA+fAICg4TwRHK3DO05PT+vXf/3X9Ru/8Rt5k1YqDtA3tLPXvMEkdSaPQIszG+8cdwtjTrEumDfHB7i/f0q6x7Jxocq5jkk407j1xNgBADotEjJzwV9martZfJx2YjQkLUqfqAW7+YZlUsgnL8LfMfbovqIDONE3iP6CP9/jnBCZ39NDIr4aYnh4OGsmhAKFlPEdv/GNb+ipp57Ku1+x76RPdjTh8U9jQjz94s8zcyDEzc3NXOpjaGioI5FCUmmYyMe6zPKIPq1rcL+v1FmqM5q/ZXPtjCDdm2FT9swy68fP8/mFgVlR44wWn+HXPaiGPBEMWUbs0r1pcDF/0JnJTY9oUjphQHC+1MfjZbE/8X5uxnDMl3NBtK3W4dbd+GbefDOZM2fOaH9/v6O6OAuaIZ5nn31Wm5ubmpmZ6djmnP9ZyYLUdk3pzICW9vxaN8kwgb/1rW/pzp07uSYQayQBqNCEvIP7Vg468Rtz5qlnHpqJ8xeBNY5zPdrPBZ4LJKcR97v9XOjJ5zhqSlo0x7nGm7tHZfc8TjsRDCnd2/nIUNGPiJqtm+1edr/4ewRKOL+slfmQcSI83Y/7IAQ88ZnPsbEx7e21a6NShn5iYiJfB2Gurq7q4sV2qQ5MzRs3buQwRk9PT97wRVKHlvYMFbQ14xAl/e3bt/XKK69kDe0lNh3Kd5M/ap7IMD5HPi/E9RCOZVrQhWk8FucqzgnH3M2ItBB/c0HtPng366iMPr7XdmIYksGOfhpaB8ZxU8Kh9jLmiBOGVIdo4ppFPh3siA67S3j6FH1OfD38Ng+6e/qb1N4mbn19PfeFc9BIxAnZ8eqZZ57pSACnatzm5qYkaXFxMWsSYnv4jZVKJSeVF0WRFyPjc1UqFS0tLekLX/iCFhYW8m7No6Oj2t/fz6tkpEOBQr9hfubPl15F5neUl3NhcOneDXIdeeU+zKuHZ5wxmWfvU7yn00ZEp6Pm9+u4l/ubfi9nSp/r47TjbCUwKOlrkgYOzv+XRVH8DymlS5K+KGlS0jcl/Y2iKHZSSgNqb/D6CUkrkv56URTXj90jddr/bu64FKPFwYFpHMgpMy14DhI6/hZ9BDeX+J0/X8PnqyfwN3gPUEnpUKPMzs5qfX09EyoCiHO4F88ihIH/6bFHzGVPWGCbAeJ9k5OTeREzaW6YpGyxNjc3l5HYnZ0dTUxMqF6v3+PXRfeiLOTi53iGET6zb1fnYE+81oUv53czD8t8v0gv3b53wyi8lVlfZe1BTFXacVj3rqTPFEXRSO1Nd55NKf1bSf+t2hu2fjGl9L9L+mlJv3TwuVYUxQdSSj8p6R9K+utHPQBid6lVtmTJ/1wrIt3dz4tMLB1mZ7iZ5gwJ8kglN88ckTpTxNzEgtjd9+GdWG/ZarVyGUfpcD96QiKxOhpS1ZPAm82m5ufn9eSTT3a8P+fxbBIMpMOqADDLxsaG5ufbW7K4BQDK+/bbb2etjhZdX1/P/iy+X6VSyUkGnoaGuco7RAHnS76oROCrSlyjuWk9PDzcsUcl8xzn090Pt2C4f2SSaJnR3Gz1Y/7d/df4bGhPurfKxFHtvmGPot2wVfoO/gpJn5H0Lw+Of0HSf3zw/XMH/+vg97+SHlBUlPkb3STSUVLMTRufIP9e1iKxl01kfG50+PHxfGUJ53kIhmNc43taOEFCIKurq2o0Gvf0kXuQJI6v56GCeI5r2L6+vryXh5vgfg/3tyNK6WPSzVenn3xnOZiPCWBbnL9oLZWZsHHe7+fv+bh1o4d4b84ta/68+Hfcdtzt6HpSSi9JuiPpK5KuSlovigLW901Z84atB7/XJE2V3DNv2Bpz/aKEi5IpSiC/LhIf18TJhMBjzJNzCUt4eCSaPkhpGMef4/5RNKc4n4T2np4eNRqNXEMHTRB9mpGREc3Pz+v27du5vzCwm+dF0ZnBg9Z3xucPn3ZwcFDvvPOOFhcX886/MCMrNCKBYfr6nPm8lAX7XautrKxkv9Rjmd3mkbF1IVXGHGXC8yjXxVucY49nejy8rMV+PygzSscEdYr27lXPpJTGJf1fkj5UdtrBZ5n4uKdXhW3YOjAwUPa7pPJ9FqTOUEZ88W6SseyaqKXK/BCfODfJ/BwHJTC5HZmLS4W4HgBjdHQ0m7CSOoAAzGZCGGjeqLm6vQffo7/maHClUlGj0ciFvTyMgMb0+8W5cPPX0Vw/1+9J7m4ZRnAUEZcJ48hYLnhjf+P/8VrX1n4/p4mjfMao1R+0PRDKWhTFekrpDyX9RUnjKaXeAy3om7KyYes7KaVeSWOSjrWnc4Tf/Vjoxz3mawzkl0lR9ztcesf7OdNFqezxNz8eTTNqw5CDCvF7EnWrdbjawf0j7k+2j1ezazabeUcsVooACMXxgpGpV0P9G+nQV6UCwe7ubtbQQ0ND2ZdzE1w6rHbH/f29sRI4DurMODr4JUmjo6O5D14qxBnTn4+gizTi36NFddS5ZQzJGJb9FpmNsY7vFa99V03WlNLpA82olNKQpP9Q0uuS/r2k/+TgtM9L+jcH33/n4H8d/P7/FMfokUvjMunHIIGMltn7PpBlpm40R6TDUhhoOK5j4kFKMfFYhIu/B4jCMdBVymA4KAPzYEbCoJVKe1EwxaVgPJjez5MOS2u4VsK09L729vbmbdTZd9IBDpiEYH+tVuuo2yodEhuhDcYM4Mc1Mn1H2Hnyhc8jY8v7+VpF5oJxQzuzoNt92DIGcf/chRNzF2mNPvGcGMqA5jy7q4xuIwN+L+aqdDwNOSvpCymlHrUZ+LeKovi9lNJrkr6YUvqfJP2p2rss6+DzX6SU3lJbM/7kcTpSBhDcT9JF7dnNlDiqRSHgE8Wnx6QgFjeHHOUllujXu1lcJnD8vGgWuannWh0TliVQnkEEmummJ4LMV+xzD76TwVOWjUT/HKmmn67NytyHiHzG+Yr3Okq7wDguNJwp7mdeRs1Li4wYn+1CoJsf6e9+lEl9VLsvQxZF8bKkv1By/JqkT5ccb0r6a8fuwUFz9DNOnNRpxyNFIZBoKnQbFCcsN2khQoe4OQ9frbe3V+Pj45khV1dXsx9Uq9WypvH0OX+2m7nuj/nkxpXoPsFI5+HhYU1OTublVByPuaD0B61DmMLNSBcGhDep4IkAAAuZSURBVGEwV3m2Mx/3w7zEB3STOgof5oG58ZUt/OaCyrVX1Ky8k89fWStjdBrHorAs+z/6/D5m3tf4vG64x3HaicvU6dai5OOabswb/YBoRkQUNvotfg9MSoiWDBdfQwkyy7PKtHeU3LHvDvxEYAEigKl7e9tFjCcnJzMYtL29nfcAGRoaykzjpq8jss4UxBnpWwR2HDWEOeIY0qJg5FhZmMLnq2zOaR4W6ZYcELV17IPPTXRhfJzje8X7dLt3Wev2nG7txDAkUpJPJwKpk4D9WNSQ0b/w5prTJ5h7xevQjGiOkZERra6u6tq1a9rb29PExETHPVl65T4M/XNE0/uDZvZtDtBE7lthco6Pj+vSpUsaGRlRpVLJea2+s1Wr1VK9Xs8+pZfEYCUHaCpjCpjDc1wrSupYHuXrIX0FC+NZJjijIOSduGdc1Ms9IGaQZfpXJoRji5rLjznG4AwTUXeuL4vnxmsijX4vLtSJYEhe1P0Cd6C7mSAAJG4GRknOpLqPxzGYAWAHZJFnk1zdarVLJG5ubub1eT09h8WgmFDP0WQn4CiRo89KOhlazFdt+DvzvoODgxodHdXm5qYmJyd15syZjiSAtbW1/I6Ue8QMdU3p26L39vbm7x568eRqmIb3hjFBiL2/Ozs7GS1mPPn0uWQOmB/GAXCL9+rpOdyACM3MvZx23BXgGfSdc9xVcYAo0iOfZRYYrUxJxPs8KFOeCIaUDrNUukko6d7YWhkAwP+eyhbtfQjANVmMmTm4Ua/XVavVNDo6mokV5nbNjsnpz4vhk2galwkdfw8XPq1WS1euXNHZs2dzMgHPp7QlxanovxOjCxuYZWBgQEtLS3nplzd8NvfX+Z++ehI+fnIEtXwOeT/GEeERE8CdURhHP+5+XKSNsuP+3WmgjBkjTXlf/LlldBmv/75kSDfP7idpPFbZjTnLGJfj/ntZ8wmHEL0CAMzqCd2xn2WB5ehPHSU9y45D/FNTU3ktJKAS74M56gWuPD6JqYfJOTQ0lBPaWWIldW4gFBHNsvmJRO+Ajr+/z2+lUskxzXguzB3HwkMZZe5L7E8Z0/j4OzNGECn6pf6Mo2inzGc9jq9JOxEMGYnVwRofpHh+GWPxm0P3ZRrSfU+pc/MW/JRGo6Ht7e2c/O2mGMThVcZ9aRfE59rD/Uh/vhNGfF8/Z2ZmRk888URmkP7+fk1NTXWcPzw8nP1QT+vb3t7WxsZG7gP3aDabunr1qubn5zU2NtbhVzIObubTl1ar1VEU2Zub54xtURzWz3E3oyzkE0EVF44IlshAfm63FjVfHF+nhej6eIv057nHZczXLUxS1k4EQ9KiuerS5Sit1u1eLo3L7uHaMEppbz4pbqK6NC3TyPxW9j0eO8pf5vmY9VQux69ygeNFr6TOxASWWVERz9+HZ/l7Ru3gYE8cMx+Hsv6XtegH+l+3uXDQr4zBysa3bD7jcWfCbq1MGx/17Ac1V6UTxpAex+MlMaNcEiOVuk2IM8ZRhC61fRgC/Y1GI0s7KrwBMqB1PAbWarUykTt44XmoUVPwDu6XRcJ2JoS5hoaG9IlPfCKHO2KWDO+MaU1/tra2VKlUVK/Xs8nt0r+vr0/r6+t56Zkfd3/Qq8O5L+fxz+gvM0ZuUkuHRag8ZFSGQjNffl/mhP45DsDzonns4+qWiv/uYxmbv0OZ61EWJnFa+74Me0j3Bme7tTLmipK2mzl7lFTt5rs5E3KszFfwvnfzN6IfW0Y49NN9uf7+fo2NjWXhwSoPrvfnO0E6wBIJyE3ICKD4uxNfjci3m79HEXRsrtWPamVjGP3TeK6Pbbd7IgSOE/uOFsxx21GWwVHtRDAkE9+NiSIDRKYrm1wnQAi020TG57ovub+/n/Moo0kKw3gVAAgzZv34Ne6PRR+KcXA0s9VqaXx8XDMzM5l5iqLoCLn4uzrRepjAGQqEFe0Z/Vquox+MhY8ZIZAys7wbQcbFxRGkcTSzzC2Iz4ntKMzhuM1dpgdpZaaw9C6nzr3fzZmxbFIiM8Xfu2nBbv5A1GAQTzdnHYDIJ8P9r9hHjrvfJnUSYCTmVquVk88RLISIolXgmpLf9/fbZTpgKK+47YwnqTSu6HFcFyQAXK4t41i6QOw2D2UEe5R1c5RlUzZP9zMz7/fc+P0o7VvWHoSxTwRD4l+UabBonzvhdWM+jkMk3cxCb/5sR0ZdM0aTmol1sMP9E1/xACJZpm38+c6ozhRUleN5+LhbW1sZ7YVxCHVQQgR/jXcgM8jLc7BUyxMVYGLQZRc+btoiSDyEUeZGeIaNj6WfG/NG6bOXwehmLZUddwEVBWOZFo+MH03WB9F234u5e2Iql3srQ++k8lQoPx5bmbnr7X6miR/HjHTAAoaMEx+Pcf1RE+3v7mEZCNI3bcXUhIl8jaCb5jGQDrGDblYqh5URXGuA5sZxYMmVMyYhn+MQ7J/1t24Md1xmcfck/h2FtJfN5YM870HaidCQ0r1ahxYdeo75JEFgUYN6VkWcVIgoErPvxgSgASGy2Fjq3M2JPhVFkdPwkMiggtxPUofPSfN+uB+H/zo8PJwZwRmOOCHpbO5Toq3xOx393d3d7UgDLGNwjx/GpVs8Z3BwUNvb21kDSvcWt+KduC9j5M/wPywI37DW7+W+egS1IibQ7ffIZEcBiWVmazfT+H5u1P1aelDH9b1oKaUlSZuSlt/Hbky/z89/1If/f/fhiaIoTt/vpBPBkJKUUnqhKIpP/nl9/qM+POqDdEJ9yEftUfvz2h4x5KP2qJ2gdpIY8p/+OX++9KgPtD+3fTgxPuSj9qg9aidLQz5qj9qf+/aIIR+1R+0EtfedIVNK/1FK6Y2U0lsppZ99iM+9nlJ6JaX0UkrphYNjkymlr6SU3jz4nHiXn/lrKaU7KaVv27HSZ6Z2+18PxuXllNLH38M+/FxK6fbBWLyUUvqs/fZ3D/rwRkrpx96lPjyeUvr3KaXXU0qvppT+64PjD20sjujDQx2Le1rMkniYf5J61N6450lJ/ZK+JenDD+nZ1yVNh2P/SNLPHnz/WUn/8F1+5l+W9HFJ377fMyV9VtK/lZTU3rrh+fewDz8n6b8rOffDB3MyIOnSwVz1vAt9mJX08YPvI5K+e/CshzYWR/ThoY5F/Hu/NeSnJb1VFMW1oih21N4A9nPvY398K70v6HCLvXelFUXxNd27z0m3Z35O0j8v2u05tfdSmX2P+tCtfU7SF4uiuFsUxduS3lJJcezvoQ/zRVF88+B7Xe2tKc7rIY7FEX3o1t6TsYjt/WbIvHXdQfNt7d7rVkj6g5TSiymlv3Vw7ExRFPNSe8IkzTyEfnR75sMem799YA7+mpnq73kfUkoX1a6M/7zep7EIfZDep7GQ3n+GLMu6fVhxmL9UFMXHJf24pJ9JKf3lh/Tc47aHOTa/JOmypGckzUv6xw+jDymlqqR/JenvFEWxcdSp71U/SvrwvowF7f1mSLauo/m2du9pK4pi7uDzjtp7Xn5a0iKm0MHnnYfQlW7PfGhjUxTFYlEU+0VRtCT9Mx2aYu9ZH1JKfWozwm8URfGvDw4/1LEo68P7MRbe3m+G/BNJV1JKl1JK/WrvlPU77/VDU0rDKaURvkv6UUnfVudWep/X4RZ772Xr9szfkfSfHSCMf1FSDXPu3W7BH/urao8FffjJlNJASumSpCuSvvEuPC+pvUva60VR/IL99NDGolsfHvZY3NPebZToe0C7Pqs2wnVV0t9/SM98Um3E7FuSXuW5am+9/u8kvXnwOfkuP/f/UNsM2lVb4v50t2eqbSL9bwfj8oqkT76HffgXB894+YDwZu38v3/Qhzck/fi71If/QG1z72VJLx38ffZhjsURfXioYxH/HqXOPWqP2glq77fJ+qg9ao+atUcM+ag9aieoPWLIR+1RO0HtEUM+ao/aCWqPGPJRe9ROUHvEkI/ao3aC2iOGfNQetRPU/j8VYZovZtyfugAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "face = imread(\"./data/face.jpg\")\n",
    "plt.imshow(face, cmap=\"gray\")\n",
    "plt.title(\"original\")\n",
    "plt.show()\n",
    "\n",
    "face1 = low_rank_approximation(face, 5)\n",
    "plt.imshow(face1, cmap=\"gray\")\n",
    "plt.title(\"rank-5\")\n",
    "plt.show()\n",
    "\n",
    "face2 = low_rank_approximation(face, 20)\n",
    "plt.imshow(face2, cmap=\"gray\")\n",
    "plt.title(\"rank-20\")\n",
    "plt.show()\n",
    "\n",
    "face3 = low_rank_approximation(face, 100)\n",
    "plt.imshow(face3, cmap=\"gray\")\n",
    "plt.title(\"rank-100\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "hmwHey7Qcv5B"
   },
   "source": [
    "# Part b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 295
    },
    "colab_type": "code",
    "collapsed": false,
    "id": "GHuwODLKjiaC",
    "outputId": "b92c9c79-9c9b-4574-ea2e-71b2e799f8c1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sky = imread(\"./data/sky.jpg\")\n",
    "plt.imshow(sky, cmap=\"gray\")\n",
    "plt.title(\"original\")\n",
    "plt.show()\n",
    "\n",
    "sky1 = low_rank_approximation(sky, 5)\n",
    "plt.imshow(sky1, cmap=\"gray\")\n",
    "plt.title(\"rank-5\")\n",
    "plt.show()\n",
    "\n",
    "sky2 = low_rank_approximation(sky, 20)\n",
    "plt.imshow(sky2, cmap=\"gray\")\n",
    "plt.title(\"rank-20\")\n",
    "plt.show()\n",
    "\n",
    "sky3 = low_rank_approximation(sky, 100)\n",
    "plt.imshow(sky3, cmap=\"gray\")\n",
    "plt.title(\"rank-100\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "mIJvy0OFcv5H"
   },
   "source": [
    "# Part c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "pTkmriVJcv5B"
   },
   "outputs": [],
   "source": [
    "def mse(img1, img2):\n",
    "    return np.mean(np.square(img1-img2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12391a550>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "face = imread(\"./data/face.jpg\")\n",
    "sky = imread(\"./data/sky.jpg\")\n",
    "mse_face,mse_sky,indices = [],[],[]\n",
    "for i in range(1,101):\n",
    "    indices.append(i)\n",
    "    f_img = low_rank_approximation(face, i)\n",
    "    s_img = low_rank_approximation(sky, i)\n",
    "    mse_face.append(mse(face,f_img))\n",
    "    mse_sky.append(mse(sky,s_img))\n",
    "plt.plot(indices, mse_face, label=\"Face\")\n",
    "plt.plot(indices, mse_sky, label=\"Sky\")\n",
    "plt.xlabel(\"rank\")\n",
    "plt.ylabel(\"MSE\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "face = imread(\"./data/face.jpg\")\n",
    "face4 = low_rank_approximation(face, 40)\n",
    "plt.imshow(face4, cmap=\"gray\")\n",
    "plt.title(\"rank-40\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sky = imread(\"./data/sky.jpg\")\n",
    "sky4 = low_rank_approximation(sky, 20)\n",
    "plt.imshow(sky4, cmap=\"gray\")\n",
    "plt.title(\"rank-20\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Rank-40 is roughly when it gets hard to differentiate the face."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, rank-20 is roughly when it gets hard to differentiate the sky."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A possible reason for the difference in face and sky minimum differential rank\n",
    "is that the face image is significantly more complex and thus requires more eigenvalues/vectors\n",
    "to encode/represent the basic structure and look of the image."
   ]
  }
 ],
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